CURRICULUM VITAE

 

Name:                                      A.M. MATHAI (Arakaparambil Mathai Mathai        =Mathai Mathai = Arak Mathai)

 

Date of birth:                            28 April 1935

Place of birth:                           Kerala, India

Marital status:                           Married; 3 children (one daughter, two sons)

 

Present titles:                            Emeritus Professor (Full Professor) of Mathematics and Statistics, McGill University, Montreal, Canada, and Director, Centre for Mathematical Sciences, [Trivandrum Pala and Hill Area Campuses], Kerala, India

 

Office address in Canada          Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, Quebec, Canada, H3A 2K6

Phone: (514) 398-3826; Fax: (514) 398-3899

E-mail: mathai@math.mcgill.ca 

 

Office address in India:             Centre for Mathematical Sciences, Pala Campus, Arunapuram P.O, Pala-686574, Kerala, India

Phone: 91+ 4822 216317; Fax: 91+ 4822 216317;

E-mail: cmspala@gmail.com ; Webpage: www.cmsintl.org

 

Home address in India:             “VISMAYA”, 49/1880 Suraj Enclave, Edappally P.O., Ernakulam, Kerala, India-682024

Phone: 91+ 949542 7558 (mobile)

E-mail: mathai@math.mcgill.ca ; cmspala@gmail.com

 

HONORS AND DISTINCTIONS

 

First Class, First Rank and Gold Medal in M. Sc (Statistics) in 1959, University of Kerala

Canadian Commonwealth Scholarship 1961-1964 (Mathematical Sciences)

Fellow of the Institute of Mathematical Statistics, (USA)

Fellow of the National Academy of Sciences, India

Elected Member of the International Statistical Institute (The Netherlands)

Founder: The Canadian Journal of Statistics

Founder: Statistical Science Association of Canada (now, Statistical Society of Canada)

Founder’s award from the Statistical Society of Canada

Award (Japan, 2008) from the United Nations for South East Asia

Award (Korea 2009) from the United Nations for the contribution to UN Workshops in the past 20 years

 

Editorial, review and refereeing work

 

The Canadian Journal of Statistics (Managing Editor for one term, Editor for one term)

Regional Editor for Canada for the Statistical Theory and Methods Abstracts (for many year, not now, an ISI Publication)

Editor of the Publications Series (books, proceedings of symposia and conferences, modules series, mathematical sciences for the general public series, newsletter and collection of papers) of the Centre for Mathematical Sciences, India (1985-)

Editor of the special issue (on Distributions of Test Statistics) of the American Journal of Mathematical and Management Sciences

Member of the editorial boards of (a) Communications in Statistics (Theory and Methods) for many years, not now; (b) American Journal of Mathematical and Management Sciences (for many years); (c) International Journal of Mathematical and Statistical Sciences for many years, (not now); (d) many small journals in Mathematics and Statistics in India (f) one of the editors of the special issues of the international journals Earth, Moon and Planets (2009), Astrophysics and Space Science (2009).

 

Current Memberships in International Professional Societies

 

Institute of Mathematical Statistics

International Statistical Institute

Canadian Statistical Society

Environmetric Society

+ Many national societies including Science Congress Association of India

Note: Formerly member of many other societies also, but given up due to financial constraints.

 

Reviewer for the Mathematical Reviews and Zentralblatt für Mathematik

Refereed papers for almost all statistics journals and a large number of mathematics journals around the world.

 

Chief organizer of the following National/International Symposia/Conferences/Schools in India on (a) Functional Equations and Their Applications 1985; (b) Special Functions and Problem-Oriented Research, 1988; (c) Computer-Oriented research in Mathematical Sciences, 1989; (d) Reliability and Renewal Theory, 1989; (e) Operator Theory and Functional Analysis, 1989; (f) Design of Experiments, 1990; (g) Algebra and Number Theory, 1990; (h) Graph Theory and Combinatorics, 1991; (i) Distribution Theory, 1991; (j) Statistical Inference, 1992; (k) Probability and Statistics, 1993; (l) SERC Schools (research-orientation, all-India schools, under the Department of Science and Technology, Government of India, New Delhi (DST)) in 1995, 2000, 2004, 2005, 2006, 2007, 2008, 2009; (m) Undergraduate Training Camps (2007-2008, 4 Camps), (2008-2009, 4 Camps), (n) National Workshops on “Fractional Calculus and Statistical Distributions” (25-27 November 2009 as part of India Mathematics Year), “Graph Theory” (scheduled for 2-5 February), (o) Organizer of special sessions at the Indian Science Congress in 2009 and 2010.

 

Invited speaker (plus, usually chairman of one session) of the UN/ESA Workshops in (a) India;  (b) Egypt; (c) Nigeria; (d) Costa Rica; (e) Columbia; (f) Germany; (g) Mauritius, (h) China, (i) United Arab Emirates, (j) Japan, (k) Korea.

Note: Invitations were there for other UN/ESA/NASA Workshops also but due to lack of time I could not go.

 

Invited speaker at the international conferences in many countries, usually around 3 to 4 invitations per year. Recent ones where I went: (a) Athens, Greece (Statistics); (b) Sicily (Stochastic Geometry); (c) Hamilton, Canada (Statistics); (d) Mysore, India (Order Statistics); (e) Chennai, India (Statistics), (f) Mumbai University, India (Statistics), (g) Banaras Hindu University, India (Mathematics/Statistics), (h) Malavya Institute of Technology, Jaipur, India (Mathematics)..

 

Invited speaker for lecture series in (a) Brazil (several times at Campinas, twice in Rio de Janeiro, once at Brasilia, once at Fortaleja, once a member of the Crop Estimation Survey Team of the Rio Grande du Sul, Brazil); (b) University of Texas at El Paso, USA; (c) Trento, Italy (for the international workshop in astrophysics), (d) many places in India.

 

Visiting Full Professor spending at least one semester at (a) University of Texas at El Paso, USA, (two semesters); (b) University of Campinas, Brazil, several times; (c) University of Jodhpur, India; (d) Indian Statistical Institute, India (Calcutta and Delhi Campuses); (e) Central Institute for Astrophysics, Potsdam (several one month visits).

 

Invited colloquium speaker in (a) Canada (several universities), (b) USA (several universities), (c) Brazil (several universities), (d) Greece (several universities), (e) India (several universities, colleges and National Institutes), (f) Japan (Institute of Statistical Mathematics), (g) Italy (Trento, Cattaneo), (h) West Germany (Bielefeld, Bonn); plus (i) Philippines (Manila, conference), (j) Turkey (conference), (k) Spain (conference), (l) USSR (conference), (m) Malaysia (conference), (n) Hong Kong (conference), (o) China (Workshop), (p) Costa Rica (conference), (q) Columbia (conference), (r) Egypt (conferences),  (s) Mauritius (Workshop), (t) UAE (Workshop), (u) Japan (Workshop), (v) UTEP, USA..

 

Member of several national committees in India. Currently Member of the Syllabus Committee of the new Central University of Rajasthan, India; DST (India) Committee on National Research Scholars’ Meet.

 

Research director under (a) the Natural Sciences and the Engineering Research Council of Canada from 1965 to 2005, several projects (statistical distribution theory); (b) the Department of Science and Technology, Government of India, New Delhi (DST, Delhi) since 1985 (several projects), plus several other agencies. Current projects (2009) worth over Rs 4 crores.

 

Director of SERC Schools in mathematical sciences (5 to 6 weeks =100 to 125 hrs of lectures and 100 to 125 hrs of problem-solving sessions per school) for young faculty at the universities and colleges in India, under DST, Delhi, in 1995, 2000, 2005, 2006, 2007,  2008, 2009, 2010 (scheduled for April-May 2010)..

 

Graduate students

 

Number of Ph. D theses completed under A.M. Mathai’s supervision in Canada  =  5

Number of M. Sc theses completed under A.M. Mathai’s supervision in Canada =30

Number of Ph.D students working under A.M. Mathai’s supervision in India in 2009 = 4

 

Educational background of A.M.Mathai

 

Secondary School Certificate (SSLC), 1951, Kerala, India (first class and distinction)

First Science Degree, 1953, University of  Kerala, India (first class and distinction)

B.Sc Degree in Mathematics, 1957, University of Kerala, India (first class and distinction)

M. Sc Degree in Statistics, 1959, University of Kerala, India (first class, first rank and gold medal)

M.A Degree in Mathematics and Statistics, University of Toronto, Canada, 1962 (no ranking)

Ph. D Degree in Mathematics and Statistics, University of Toronto, Canada, 1964 (no ranking).

 

Teaching experience of A.M. Mathai

 

Lecturer in Mathematics, St. Thomas College, Palai, University of Kerala, India, 1959-61

Assistant Professor, McGill University, Canada, 1964-68 [teaching Mathematics, Probability, Statistics, etc  topics]

Associate Professor, McGill University, Canada, 1968-78 [ “ ]

Full Professor, McGill University, Canada, 1979-2000 [“ ]

Emeritus Professor, McGill University, Canada, 2000 -

Note: Visiting professorships mentioned earlier included teaching also; celebrated 50 years of teaching in 2009.

 

A.M. Mathai’s research areas, with significant research contributions

 

1. Mathematical Statistics (Statistical distribution theory, multivariate analysis, characterizations, order statistics, computational aspects (theory and numerical tables), quadratic forms, bilinear forms, matrix-variate distributions (real and complex cases), over 100 papers and several books.

2. Applied Statistics (Design of experiments, demography, population models, social statistics)

3. Probability (Geometrical probability (several), Probability (several), queuing theory (only one paper), optimization (only one paper), transportation problems (two))

4. Astrophysics (Reaction rates, energy generation, gravitational instability, stellar models, neutrino problems, reaction-diffusion problems, all papers with the physicist co-author H.J. Haubold and the latest ones on fractional calculus with H.J. Haubold and R.K. Saxena, 2000-2009, over 50 papers and one book)

5.  Information Theory (Characterization of Information Measures, applications)

6. Mathematics (Generalized hypergeometric functions, G and H-functions (over 50 papers and 4 books), functions of matrix argument (many papers and books), graph theory (only one paper), functional equations (applications), integral equations, differential equations (two papers only), statistical techniques applied to mathematics, fractional calculus (several papers))

7. Miscellaneous (Biological models, orthogonal polynomials, dispersion theory, axiomatization of basic statistical concepts, pollution problems, transportation problems).

 

Note: Details may be seen from the list of publication to follow.

 

LIST OF  A.M. MATHAI’S  12 MOST SIGNIFICANT PUBLICATIONS

 

1.  A.M. Mathai, A pathway to matrix-variate gamma and normal densities, Linear Algebra and Its Applications, 396,317-328 (2005).

 

[This paper introduces a novel idea where the model switches from one functional form to another through a parameter. Type-1 type beta families, type-2 type beta families, gamma families, normal and a wide variety of other families are covered by this switching model]

 

2. A.M. Mathai, Random p-content of a p-parallelotope in Euclidean n-space, Advances in Applied Probability, 31(2), 343-354 (1999).

 

[This paper introduces a general technique of handling the distributional aspects of random volumes without using the standard differential and integral geometry techniques. A method through Jacobians of matrix transformations is introduced here, which is proved to be very powerful].

 

3. A.M. Mathai, An Introduction to Geometrical Probability: Distributional Aspects with Applications, Gordon and Breach, Newark, (1999).

 

[This book covers the distributional aspects of geometrical probabilities. This can be called the first full text in the English language on the subject. Apart from the standard coverage of the topics discussed, a large number of new results as well as contributions of the author and his co-workers are also introduced here].

 

4. A.M. Mathai, Jacobians of Matrix Transformations and Functions of Matrix Argument, World Scientific Publishing, New York, (1997).

 

[This is the first book that covers the topic of Jacobians of matrix transformations as well as scalar functions of matrix argument in the real and complex domains. A large number of results are also new, apart from more or less a full collection of known results. This book opens up applications into various fields.]

 

5. A.M. Mathai, Appell’s and Humbert’s functions of matrix arguments, Linear Algebra and Its Applications, 183, 202-221, (1993).

 

[This paper introduces generalized special functions of matrix argument as well as introduces a general technique of extending the results on scalar variables to matrix variables in general.]

 

6. A.M. Mathai, On non-central generalized Laplacianness of quadratic forms in normal variables,  Journal of Multivariate Analysis, 45, 239-246, (1993).

 

[This paper introduces a new concept of “Laplacianness”, analogous to the concept of “chisquaredness”, when dealing with quadratic forms. It is shown that the idea is connected to many interesting topics in statistics including the distributions of covariance structures, growth-decay models, input-output models.]

 

7. A.M. Mathai and S.B. Provost, Quadratic Forms in Random Variables: Theory and Applications, Marcel Dekker, New York, (1992).

 

[This is a very popular book. This is the first book devoted to the theory and applications of quadratic forms in real random variables. It also contains a large number of new results. Only the real cases are dealt with here. Complex cases are parallel.]

 

8. A.M. Mathai, On a system of differential equations connected with the gravitational instability in a multi-component medium in Newtonian cosmology, Studies in Applied Mathematics (MIT journal), 80, 75-93, (1989).

 

[After seeing the work of Russians on particular aspects, the author had noticed that if the operator was changed then the problem fell into a particular case of the differential equation satisfied by a Meijer’s G-function. Then by using G-functions, the general case was considered. In the two companion papers, H.J. Haubold and the author solved some gravitational instability problems also.]

 

9. A.M.Mathai, On a conjecture in geometric probability regarding asymptotic normality of a random simplex, Annals of Probability, 10, 247-251, (1982).

 

[Apart from solving a conjecture in geometrical probabilities, a general procedure is introduced here, so that problems having certain general structures can be solved by using the technique].

 

10. A.M. Mathai and R.S. Katiyar, Exact percentage points for testing independence, Biometrika, 66, 353-356, (1979).

 

[The authors had developed a computer program to tackle the problem of computing   exact 8-digit percentage points, from the exact null distributions, for a large number of test statistics in multivariate statistical analysis. This paper is one in the category of solving such problems by using the general program developed by the authors.]

 

11. A.M. Mathai and P.N. Rathie, Recent contributions to axiomatic definitions of information and statistical measures through functional equations. In, Essays in Probability and Statistics, Ikeda and others editors, Shinto, Tsusho, Tokyo, pp. 607-633, (1976).

 

[This is a review paper giving the area of characterizations of information and statistical measures through functional equations. This gives a full coverage of the area thus far, along with the works of the authors in this area.]

 

12. T.A. Davis and A.M. Mathai, Constructing the sunflower head, Mathematical Biosciences, 20, 117-133, (1974).

 

[This paper solves the age-old problems of giving an explanation for the appearance of Fibonacci numbers, golden ratio etc in nature, as well as the beautiful patterns in flowers and plants. A theory of growth and form is introduced here and the pattern in a sunflower head is reconstructed by using the proposed theory. From 1976 onwards the cover design of the journal “Mathematical Biosciences” is the mathematically reconstructed sunflower head of Davis and Mathai in the above paper. Acknowledgement is there in the 1976 issue].

 

Co-authors with whom A.M. Mathai has written papers and books.

 

R.K. Saxena (India), P.N. Rathie (Brazil), H.J. Haubold (Germany), S.B. Provost (Canada), R.S. Katiyar (Puerto Rico), W.J. Anderson (Canada), D.S. Tracy (Canada),  Stratis Kounias (Greece), P.G. Moschopoulos (USA), F.S. Gordon (USA), W.Y. Tan (USA/Taiwan), G. Pederzoli (Italy), T. Hayakawa (Japan), S. Gottlöber (Germany), J.P. Mücket (Germany), V. Müller (Germany), Aleyamma George (India), V.C. Mathew Roy (India), M. A. Chaudhry (Saudi Arabia), H. Kaufman (Canada), T.A. Davis (Iindia), K.C.S. Pillai (USA) + several co-authors for books and special journal issues edited. [A very large number of authors requested Mathai for co-authorships when help rendered in rewriting their works or suggesting new ideas or modifications, from time to time, but declined].

 

A.M. MATHAI’S  PUBLICATIONS

 

RESEARCH LEVEL BOOKS

 

1. A.M. Mathai and R.K. Saxena : Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences, Springer-Verlag, Heidelberg and New York, Lecture Notes No.348, (1973).

 

2. A.M. Mathai and P.N. Rathie : Basic Concepts in Information Theory and Statistics: Axiomatic Foundations and Applications, Wiley Halsted, New York and Wiley Eastern, New Delhi, (1975).

 

3. A.M. Mathai and G. Pederzoli : Characterizations of the Normal Probability Law, Wiley Halsted, New York and Wiley Eastern, New Delhi, (1977).

 

4. A.M. Mathai and R.K. Saxena : The H-function with Applications in Statistics and Other Disciplines, Wiley Halsted, New York and Wiley Eastern, New Delhi, (1978).

 

5. A.M. Mathai and H.J. Haubold : Modern Problems in Nuclear and Neutrino Astrophysics, Akademie-Verlag, Berlin.

 

6. A.M. Mathai : Distributions of Test Statistics, edited for the American Sciences Press, USA, (1989).

 

7. A.M. Mathai and S.B. Provost : Quadratic Forms in Random Variables: Theory and Applications, Marcel Dekker, New York, (1992).

 

8. A.M. Mathai : Jacobians of Matrix Transformations I, Centre for Mathematical Sciences, Trivandrum, India, (1992).

 

9. A.M. Mathai : A Handbook of Generalized Special Functions for Statistical and Physical Sciences, Oxford University Press, Oxford, (1993).

 

10. A.M. Mathai : Hypergeometric Functions of Several Matrix Arguments, Centre for Mathematical Sciences (CMS), Trivandrum, India, (1993).

 

11. A.M. Mathai, S.B. Provost and T. Hayakawa : Bilinear Forms and Zonal Polynomials, Springer-Verlag, Lecture Notes in Statistics, No. 102, New York, (1995).

 

12. A.M. Mathai : Jacobians of Matrix Transformations and Functions of Matrix Argument, World Scientific Publishing, New York, (1997).

 

13. A.M. Mathai : An Introduction to Geometrical Probability: Distributional Aspects with Applications, Gordon and Breach, Newark, (1999).

 

14. A.M. Mathai and H.J. Haubold : Special Functions for Applied Scientists, Springer, New York, (2008), pp 464+xxv.

 

15. A.M. Mathai, H.J. Haubold and R.K. Saxena : The H-function: Theory and Applications, Springer, New York to appear in September 2009, contract signed

 

BOOKS AT UNDERGRADUATE – GRADUATE LEVEL

 

[These are prepared as self-study materials for undergraduates and teachers, and used mainly in the undergraduate training camps at CMS Pala Campus]

 

16.  A.M. Mathai : Module 1: Vectors and Matrices, (for UG Training Camps)  CMS.

 

17.  A.M. Mathai : Module 2: Determinants and Eigenvalues, (for UG Training Camps) CMS

18  A.M. Mathai : Module 3: Applications of Matrices and Determinants, (for UG Training Camps), CMS.

19. A.M. Mathai : Module 4: Limits, Continuity, Differential Calculus, (for UG Training Camps) CMS

20. A.M. Mathai: Module 5: Integrability and Integral Calculus, (for UG Training Camps), CMS

 

BOOKS, GENERAL

 

21.  A.M. Mathai  :  World Mathematicians Vol. 1, CMS Pala Campus

 

22.  A.M. Mathai : World Mathematicians Vol. 2, CMS Pala Campus

 

BOOKS AT UNDERGRADUATE LEVEL

 

23. A.M. Mathai : Introduction to Statistical Mathematics, Chand & Co, New Delhi, (1967).

 

24. A.M. Mathai and P.N. Rathie : Probability and Statistics, Macmillan and Co, New Delhi and London, (1977).

 

BOOKS, MODULES AND PROCEEDINGS EDITED BY A.M.MATHAI FOR THE CENTRE FOR MATHEMATICAL SCIENCES, INDIA

 

25. Aleyamma George, A.M. Mathai and V.C. Mathew Roy : A stochastic Model for Predicting Hospital Deaths of Diabetic Patients in the Medical College Hospital, Trivandrum, (1985).

 

26. Aleyamma George and B. Asan : Stochastic Models for Hourly Rainfall Depths, (1985).

 

27 A.M. Mathai and R.S. Katiyar : A New Algorithm for Non-linear Least Squares, (1985).

 

28. A.M. Mathai : Proceedings of the Symposium on Functional Equations and Their Applications, (1985).

 

29. V.C. Mathew Roy and T.K. Suma : Pattern of Poisoning in Medical College Hospital, Trivandrum, (1985).

 

30. H.J. Haubold :  Mathematical Approaches to Nuclear Astrophysics, (1985).

 

31. H.J. Haubold :  A Mathematical Approach to the Solar Neutrino Problem, (1986).

 

32. D. Khare and V.K. Sethi : Construction of New Measures of Poverty: An Axiomatic Approach, (1986).

 

33. G. Sankaranarayanan and S. Sivaraman : Representation Techniques in Stochastic processes, (1986).

 

34. S. Gottlöber, H.J. Haubold, J.P. Mücket, V. Müller and A.M. Mathai, Modern Problems in Cosmology, (1987).

 

35. K.S.S. Nambooripad, R. Veeramony and A.R. Rajan : Proceedings of the International Symposium on Theory of Regular Semi-groups and Applications, (1987).

 

36. A.M. Mathai : Optimal Diet Chart /Its Companion Book in Malayalam, (1988).

 

37. A.M. Mathai and staff : An Analysis of Data on Diabetes Mellitus in Trivandrum Medical College Hospital for 1982 and 1983, (1988).

 

38. A.M. Mathai : Proceedings of the Symposium on Special Functions and Problem-Oriented Research, (1988).

 

39. K.S.S. Nambooripad : Structure of Regular Semi-groups II: Cross-Connections, (1989).

 

40. A.M. Mathai : Proceedings of the Symposium on Computer-Oriented Research in Mathematical Sciences, (1989).

 

41. A.M. Mathai : Proceedings of the Symposium on Reliability and renewal Theory, (1989).

 

42. A.M. Mathai : Proceedings of the Symposium on Operator Theory and Functional Analysis, (1989).

 

43. A.M. Mathai and staff : An Analysis of Data on Diabetes Mellitus at Kottayam Medical College Hospital, (1990).

 

44. A.M. Mathai : Proceedings of the Symposium on Design of Experiments, (1990).

 

45. A.M. Mathai : Proceedings of the Symposium on Algebra and Number Theory, (1990).

 

46. A.M. Mathai : Proceedings of the Symposium on Graph Theory and Combinatorics, (1991).

 

47. A.M. Mathai : Proceedings of the Symposium on Distribution Theory, (1991).

 

48. A.M. Mathai : Proceedings of the Symposium on Statistical Inference, (1992).

 

49. A.M. Mathai : Proceedings of the Mahalanobis Birth Centenary National Symposium on Probability and Statistics, (1993).

 

50. A.M. Mathai : Lecture Notes of the Second SERC School, CMS Trivandrum, 2000.

 

51. A.M. Mathai : Lecture Notes of the Third SERC School, CMS Pala Campus, 2005.

 

52. A.M. Mathai : Lecture Notes of the Fourth SERC School, CMS Pala Campus, 2006.

 

53. A.M. Mathai : Lecture Notes of the Fifth SERC School, CMS Pala Campus, 2007.

 

54. A.M. Mathai: Lecture Notes of the Sixth SERC School, CMS Pala Campus, 2008

 

55. A.M. Mathai, Lecture Notes of the seventh SERC School, CMS Pala Campus, 2009

 

 

Note: Number of books and proceedings of symposia edited by A.M. Mathai for the Centre for Mathematical Sciences, Trivandrum and Palai Campuses, India, as of 2008, is 40.

 

PAPERS OF A.M.MATHAI IN REFEREED JOURNALS AND REFEREED CONFERENCE PROCEEEDIGNS PLUS REFEREEED BOOKS

 

(1). A.M. Mathai : An approximate analysis of a two-way layout, Biometrics, 21, 376-385, (1965).

 

(2). A.M. Mathai and R.K. Saxena : On a generalized hypergeometric distribution, Metrika, 11, 127-132, (1966).

 

(3). A.M. Mathai : Sampling distributions under missing values, Trabajos de Estadistica, 17, 59-83, (1966).

 

(4). A.M. Mathai : Pseudo-inverses in normal equations, Estadistica, 92, 620-628, (1966).

 

(5). A.M. Mathai : Some characterizations of probability distributions, The Canadian Mathematical Bulletin, 9, 95-102, (1966).

 

(6). A.M. Mathai : On the multivariate exponential type distributions, Journal of the Indian Statistical Association, 4, 143-154, (1966).

 

(7). A.M. Mathai : On a problem of regression, South African Journal of Statistics, 1, 43-48, (1967).

 

(8). A.M. Mathai : Some useful results in the analysis of data, Trabajos de Estadistica, 18, 43-54, (1967).

 

(9). A.M. Mathai : Dispersion theory, Estadistica, 95, 271-284, (1967).

 

(10). A.M. Mathai : Dispersion and information, Metron, 26, 1-12, (1967).

 

(11). A.M. Mathai : On the structural properties of conditional distributions, The Canadian Mathematical Bulletin, 10, 239-245, (1967).

 

(12). A.M. Mathai and R.K. Saxena : A short table of generalized hypergeometric distribution, Metrika, 14, 21-39, (1968).

 

(13). A.M. Mathai and R.K. Saxena : Distributions having gamma properties, Metrika, 13, 10-16, (1968).

 

(14). A.M. Mathai : Orthogonal polynomials and a spectral decomposition, Journal of the Indian Statistical Association, 6, 101-111, (1968).

 

(15). A.M. Mathai : Some limit theorems in terms of dispersion, Metron, XXVII-N.1-2, 125-135, (1968).

 

(16). H. Kaufman, A.M. Mathai and R.K Saxena : Random variables with random parameters, South African Journal of Statistics, 3, 1-7, (1969).

 

(17). A.M. Mathai and R.K. Saxena : Applications of special functions in the characterization of probability laws, South African Journal of Statistics, 3, 27-34, (1969).

 

(18). A.M. Mathai and R.K. Saxena : Distribution of a product and structural setup of densities, The Annals of Mathematical Statistics, 40, 1439-1448, (1969).

 

(19). A.M. Mathai and P.N. Rathie : The exact distribution for the sphericity test, Journal of Statistical Research, 4, 140-159, (1970).    

 

(20). A.M. Mathai and P.N. Rathie : An expansion of G-function and its applications to statistical problems, Roy. Belg. Akad. Class des Sci., 56 1073-1084, (1970),

 

(21). A.M. Mathai : Statistical theory of distributions and Meijer’s G-function, Metron, 28, 122-146, (1970).

 

(22). A.M. Mathai and P.N. Rathie : The exact distribution of Votaw’s criterion, Annals of the Institute of Statistical Mathematics, 22, 89-116, (1970).

 

(23). A.M. Mathai : An expansion of Meijer’s G-function in the logarithmic case with applications, Mathematische Nachrichten, 48, 129-139, (1970).

 

(24). A.M. Mathai : The exact distribution of Bartlett’s criterion, Publ. L’ISUP, Paris, 19, 1-15, (1970).

 

(25). A.M. Mathai : The exact distribution of a criterion for testing the hypothesis that several multivariate populations are identical, Journal of the Indian Statistical Association, 8, 1-17, (1970).

 

(26). A.M. Mathai and P.N. Rathie : The problem of testing independence, Statistica, 31, 673-688, (1971).

 

(27). A.M. Mathai and R.K. Saxena : Extension of Euler’s integrals through statistical techniques, Mathematische Nachrichten, 51, 1-10, (1971).

 

(28). A.M. Mathai : An expansion of Meijer’s G-function and the distribution of product of independent beta variables, South African Journal of Statistics, 5, 71-90, (1971).

 

(29). A.M. Mathai and P.N. Rathie : An expansion of Wilks’ generalized variance in the non-central linear case, Sankhya Series A, 33, 45-60, (1971).

 

(30). A.M. Mathai and P.N. Rathie : Exact distribution of Wilks’ criterion, The Annals of Mathematical Statistics, 42, 1010-1019, (1971).

 

(31). A.M. Mathai : On the distribution of the likelihood ratio criterion for testing linear hypotheses on regression coefficients, Annals of the Institute of Statistical Mathematics, 23, 181-197, (1971).

 

(32). A.M. Mathai and R.K. Saxena : Meijer’s G-function with matrix argument, Acta Mexicana, 5, 85-92, (1971).

 

(33). A.M. Mathai and R.K. Saxena : On a generalized probability distribution, Univ. Nac. Rev. Series A, 21, 193-202, (1972).

 

(34). A.M. Mathai and R.K. Saxena : Expansion of Meijer’s G-function of two variables when the upper parameters differ by integers, Kyungpook Mathematics Journal, 12, 61-68, (1972).

 

(35). A.M. Mathai : Exact distribution of a criterion for testing equality of diagonal elements given that the covariance matrix is diagonal, Trabajos de Estadistica, 23, 67-83, (1972).

 

(36). A.M. Mathai : The exact distribution of a criterion for testing the hypothesis that a covariance matrix is diagonal, Trabajos de Estadistica, 23, 111-124, (1972).

 

(37). H. Kaufman, A.M. Mathai and P.N. Rathie : A mathematical foundation for Pearson’s chisquare goodness-of-fit statistic, Sankhya Series A, 34, 441-442, (1972).

 

(38). A.M. Mathai : A few remarks on the exact distribution of certain multivariate statistics-II, Proceedings of the Symposium on Multivariate Analysis, Halifax, pp. 169-181, (1972).

 

(39). A.M. Mathai : Products and ratios of generalized gamma variates, Skand. Aktuar., 55, 193-198, (1972).

 

(40). A.M. Mathai and P.N. Rathie : Characterization of Matusita’s measure of affinity, Annals of the Institute of Statistical Mathematics, 24, 473-483, (1972).

 

(41). A.M. Mathai and P.N. Rathie : Enumeration of almost cubic maps, Journal of Combinatorial Theory, 13, 83-90, (1972).

 

(42). A.M. Mathai : The exact distribution of three criteria associated with Wilks’ concept of generalized variance, Sankhya Series A, 34, 161-170, (1972)

 

(43). A.M. Mathai : The exact non-central distribution of the generalized variance, Annals of the Institute of Statistical Mathematics, 24, 53-65, (1972).

 

(44). F.S. Gordon and A.M. Mathai : Characterization of multivariate normal distribution using regression properties, The Annals of Mathematical Statistics, 43, 205-229, (1972).

 

(45). A.M. Mathai and R.K. Saxena : On linear combinations of stochastic variables, Metrika,  20, 160-169, (1973).

 

(46). A.M. Mathai and T.A. Davis : A mathematical explanation of the emergence of foliar spirals in coconut and other palm trees, Proceedings of the National Science Academy (India), 39, 194-202, (1973).

 

(47). H. Kaufman and A.M. Mathai : A mathematical foundation for the measure of affinity, Journal of Multivariate Analysis, 3, 236-242, (1973).

 

(48). A.M. Mathai : A review of the various methods of obtaining the exact distributions of multivariate test criteria, Sankhya Series A, 35, 39-60, (1973).

 

(49).  A.M. Mathai : A few remarks on some recent articles on the exact distributions of multivariate test criteria, Annals of the Institute of Statistical Mathematics, 25, 557-566, (1973).

 

(50). A.M. Mathai and R.K. Saxena : Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences, Springer-Verlag, Lectures Notes No.348, Heidelberg and New York, (1973).

 

(51). A.M. Mathai and P.N. Rathie : Characterizations of some statistical concepts, In, Measures of Information and Their Applications, IIT, Bombay, pp.1-10, (1974).

 

(52). Aleyamma George and A.M. Mathai : Applications of the concepts of affinity and distance to population problems, Journal of Biosocial Sciences (London), 6, 347-356, (1974).

 

(53). T.A. Davis and A.M. Mathai : Constructing a sunflower head, Mathematical Biosciences, 20, 117-133, (1974).

 

(54). Aleyamma George and A.M. Mathai : Distributions of inter-live-birth intervals, Sankhya Series B, 37, 332-342, (1975).

 

(55). A.M. Mathai : Bounds for moments through a general orthogonal expansion in a pre-Hilbert space-I, The Canadian Journal of Statistics, 3, 13-34, (1975).

 

(56). Aleyamma George and A.M. Mathai : A measure of group behaviour, its characterization and applications in socio-anthropological studies, Canadian Studies in Population, 2, 91-100, (1975).

 

(57). A.M. Mathai and P.N. Rathie : Basic Concepts in Information Theory and Statistics: Axiomatic Foundations and Applications, Wiley Halsted, New York and Wiley Eastern, New Delhi.

 

(58). A.M. Mathai and P.N. Rathie : Recent contributions to axiomatic definitions of information and statistical measures through functional equations, In, Essays in Probability and Statistics, Ikeda and others editor, Shinko Tsusho, Tokyo, pp. 607-633, (1976).

 

(59). Aleyamma George and A.M. Mathai : Distribution of birth interval based on original data, Demography of India, 5, 163-180, (1976).

 

(60). A.M. Mathai : Bounds for moments through a general orthogonal expansion in a pre-Hilbert space –II, The Canadian Journal of Statistics, 4, 1-12, (1976).

 

(61). A.M. Mathai and P.N. Rathie : Probability and Statistics, Macmillan and Co, London and New Delhi, (1977).

 

(62). A.M. Mathai : An axiomatic foundation for the multivariate measure of affinity with applications in social statistics, In, Transactions of the Seventh Prague Conference on Information Theory, Czechoslovak Academy of Sciences, Prague, pp. 353-357, (1977).

 

(63). A.M. Mathai and W.Y. Tan : The non-null distribution of the likelihood ratio criterion for testing the hypothesis that the covariance matrix is diagonal, The Canadian Journal of Statistics, 5, 63-74, (1977).

 

(64). A.M. Mathai : A short note on the non-null distribution for the problem of sphericity, Sankhya Series B, 39, 102.

 

(65). A.M. Mathai and G. Pederzoli : Characterization of the Normal Probability Law, Wiley Halsted, New York and Wiley Eastern, New Delhi, (1977).

 

(66). A.M. Mathai : A new approach to multivariate statistical distributions, Proceedings of the 11th Brazilian Mathematical Colloquium, Poços de Caldos 1977, pp. 319-330, Instituto de Matematica Pura e Applicada, Rio de Janeiro, (1978).

 

(67). A.M. Mathai and R.K. Saxena : The H-function with Applications in Statistics and Other Disciplines, Wiley Halsted, New York and Wiley Eastern, New Delhi, (1978).

 

(68). Aleyamma George and A.M. Mathai : A study of live births and group behaviour by using a measure of attraction, The Manpower Journal, 14, 69-78, (1978).

 

(69). A.M. Mathai : On the non-null distribution of Wilks’ Lmvc, Sankhya Series B, 40, 43-48, (1978).

 

(70). A.M. Mathai : Some results on functions of matrix argument, Mathematische Nachrichten, 84, 171-177, (1978).

 

(71). A.M. Mathai and R.K. Saxena : Fox’s H-function with matrix argument, Journal de Matematica e Estatistica, 1, 91-106, (1979).

 

(72). A.M. Mathai : The exact distribution and the exact percentage points for testing equality of variances in independent normal population, Journal of Statistical Computations and Simulation, 9, 169-182, (1979).

 

(73). A.M. Mathai : On the non-null distributions of test statistics connected with exponential populations, Communications in Statistics (Theory & Methods), A8(1), 47-55, (1979).

 

(74). A.M. Mathai and R.S. Katiyar : The distribution and the exact percentage points for Wilks’ Lmvc criterion, Annals of the Institute of Statistical Mathematics, 31, 215-224, (1979).

 

(75). A.M. Mathai and R.S. Katiyar : Exact percentage points for testing independence, Biometrika, 66, 353-356, (1979).

 

(76). Aleyamma George and A.M. Mathai : A method of estimating the total number of events from information supplied by several agencies, Canadian Studies in Population, 7, 1-7, (1980).

 

(77). A.M. Mathai and P.N. Rathie : On the non-null distribution of Wilks’ Lvc criterion, Statistica, XL, 93-99, (1980).

 

(78). A.M. Mathai and P.N. Rathie : On the non-null distribution of a test criterion for testing equality of populations, In, Multivariate Analysis-V, pp. 327-335, (1980).

 

(79). A.M. Mathai and R.S. Katiyar : Exact percentage points for three tests associated with exponential populations, Sankhya Series B, 42, 333-41, (1980).

 

(80). A.M. Mathai and P.N. Rathie : The exact non-null distribution for testing equality of covariance matrices, Sankhya Series A, 42, 78-87, (1980).

 

(81). A.M. Mathai : An alternate simpler method of evaluating the multivariate beta function and an inverse Laplace transform connected with Wishart distributions, In, Statistical Distributions in Scientific Work, 4, pp. 281-286, (1980).

 

(82). A.M. Mathai : Moments of the trace of a non-central Wishart matrix, Communications in Statistics (Theory & Methods), A9(8), 795-801, (1980).

 

(83). A.M. Mathai : Distribution of the canonical correlation matrix, Annals of the Institute of Statistical Mathematics, 33, 35-43, (1981).

 

(84). A.M. Mathai and G. Pederzoli : Meijer’s G-function and its application to hard limiting of several sinusoidal signals, Journal of Statistical Research, 16, 1-14, (1982).

 

(85). A.M. Mathai : Storage capacity of a dam with gamma type inputs, Annals of the Institute of Statistical Mathematics, 34, 591-597, (1982).

 

(86). A.M. Mathai : Distribution of partial sums with applications to dam capacity and acid rain, In, Time Series Methods in Hydrosciences, pp. 27-36, edited by A.H. El-Shaarawi and S.R. Esterby, Elsevier Scientific Publishing Co, Amsterdam, (1982).

 

(87). A.M. Mathai and K.C.S. Pillai : Further results on the trace of a non-central Wishart matrix, Communications in Statistics (Theory & Methods), 11(10), 1077-1086, (1982).

 

(88). A.M. Mathai : On a conjecture in geometric probability regarding asymptotic normality of a random simplex, Annals of Probability, 10, 247-251, (1982).

 

(89). A.M. Mathai : On distributions of test statistics in the complex Gaussian case, In Developments in Statistics and Its Applications, King Saud University Riyadh, pp. 277-285, (1983).

 

(90). A.M. Mathai and D.S. Tracy : On a random convex hull in an n-ball, Communications in Statistics (Theory & Methods), 12(15), 1727-1736, (1983).

 

(91). A.M. Mathai and D.S. Tracy : On linear combinations of exponential variables, Communications in Statistics (Theory & Methods), 12(6), 625-632, (1983).

 

(92). A.M. Mathai : Exact densities of the random r-contents of beta distributed random points in an n-ball, Sankhya Series A, 45, 313-323, (1983).

 

(93). H.J. Haubold and A.M. Mathai : On nuclear reaction rate theory, Annalen der Physik, 41, 380-396, (1984).

 

(94). H.J. Haubold and A.M. Mathai : On the nuclear energy generation rate in a simple analytic stellar model, Annalen der Physik, 41, 372-379, (1984).

 

(95). W.J. Anderson and A.M. Mathai : Various representations of a generalized hypergeometric function through statistical techniques, Mathematical Proceedings of the Cambridge Philosophical Society, 96, 325-330, (1984).

 

(96). A.M. Mathai : On multi-sample sphericity (in Russian), Investigations in Statistics (Russian), Tom 136, 153-161, (1984).

 

(97). A.M. Mathai : Extensions of Wilks’ integral equations and distributions of test statistics, Annals of the Institute of Statistical Mathematics, 36, 271-288, (1984).

 

(98). A.M. Mathai and D.S. Tracy : Computable representations of a Mellin-Barnes integral through statistical techniques, Metron, XLIII-N.1-2, 117-126, (1985).

 

(99). A.M. Mathai and G. Pederzoli : A direct statistical technique of obtaining some summation formulae for Bernoulli polynomials and representations of certain algebraic functions, Metron, XLIII-N.3-4, 157-166, (1985).

 

(100). H.J. Haubold and A.M. Mathai : The Maxwell-Boltzmannian approach to the nuclear reaction rate theory, Fortschritte der Physik, 33, 623-644, (1985).

 

(101). A.M. Mathai : Exact and asymptotic procedures in the distribution of multivariate test statistics, In, Statistical Theory and Data Analysis, K. Matusita, Editor, North-Holland, pp. 381-418, (1985).

 

(102). H.J. Haubold and A.M. Mathai : The solar neutrino problem as a probe for nuclear astrophysics, In, Weak and Electromagnetic Interactions in Nuclei, edited by H.V. Klapdor, Springer-Verlag, Heidelberg, pp. 745-746, (1986).

 

(103). H.J. Haubold and A.M. Mathai : Analytic representations of thermonuclear reaction rates, Studies in Applied Mathematics, LXXV, 123-138, (1986).

 

(104). H.J. Haubold and A.M. Mathai : Analytic representations of modified non-resonant nuclear reaction rates, Journal of Applied Mathematics and Physics (ZAMP), 37, 685-695, (1986).

 

(105). H.J. Haubold and A.M. Mathai : Analytic results for screened non-resonant nuclear reaction rates, Astrophysics and Space Science, 127, 45-53, (1986).

 

(106). H.J. Haubold and A.M. Mathai : An analytic approach to the connection between stellar structure parameters and the neutrino emission rate in a simple stellar model, Astronomische Nachrichten, 307(1), 1-7, (1986).

 

(107). H.J. Haubold and A.M. Mathai : Analytic solution to the problem of nuclear energy generation rate in a simple stellar model, Astronomische Nachrichten, 307(1), 9-12, (1986).

 

(108). H.J. Haubold and A.M. Mathai : The resonant thermonuclear reaction rate, Journal of Mathematical Physics, 27(8), 2203-2207, (1986).

 

(109). W.J. Anderson and A.M. Mathai : A queuing model for reciprocity failure in the photographic grain, Stochastic Processes and Their Applications, 229-250, (1986).

 

(110). A.M. Mathai and D.S. Tracy : Random beta matrix and the distribution of its determinant, Metron, 44, 101-110, (1986).

 

(111). A.M. Mathai and R.K. Saxena : Series representations for Meijer’s G-function, Journal of the National Academy of Mathematics, 5, 33-44, (1987).

 

(112). A.M. Mathai : Distributions of volume contents of some random geometrical configurations, Proceedings of the VI Annual Conference of ISPS, pp. 3-8, (1987).

 

(113). H.J. Haubold and A.M. Mathai : Analytic results connecting stellar structure parameters and neutrino fluxes, Annalen der Physik, 44, 103-116, (1987).

 

(114). H.J. Haubold and A.M. Mathai : Thermonuclear functions, In, Lecture Notes in Physics, No. 287, Springer-Verlag, pp. 102-110, (1987).

 

(115). W.J. Anderson, H.J. Haubold and A.M. Mathai : A note on linear stellar model, Astronomische Nachrichten, 308(5), 313-318, (1987).

 

(116). A.M. Mathai and R.K. Saxena : Various practical problems in probability and statistics where Lauricella’s functions appear naturally (invited paper), Rajasthan Ganita Parishad, 1, 41-48, (1987).

 

(117). A.M. Mathai and H.J. Haubold : Modern Problems in Nuclear and Neutrino Astrophysics, Akademie-Verlag, Berlin, (1988).

 

(118). H.J. Haubold and A.M. Mathai : Gravitational instability in a multi-component medium, Journal of Mathematical Physics, 29(9), 2069-2077, (1988).

 

(119). H.J. Haubold and A.M. Mathai : Coupling of modes in Newtonian cosmology, Astronomy and Astrophysics, 203, 211-216, (1988).

 

(120). S. Kounias and A.M. Mathai : Maximizing the sum of integers when their sum of squares is fixed, Optimization, 19, 123-131, (1988).

 

(121). A.M. Mathai : On scalar functions of many matrix variables, Ramanujan International Symposium on Analysis (Pune 1987), pp. 225-240, Macmillan of India, New Delhi, (1989).

 

(122). A.M. Mathai (edited) : Distributions of Test Statistics, American Sciences Press, Columbus, Ohio,

 

(123). A.M. Mathai and G. Pederzoli : Some common structures of distribution problems in geometric probabilities, American Journal of Mathematical and Management Sciences, 9, 113-139.

 

(124). A.M. Mathai : On a system of differential equations connected with the gravitational instability in a multi-component medium in Newtonian cosmology, Studies in Applied Mathematics, 80, 75-93, (1989).

 

(125). A.M. Mathai : Basic research in mathematical and space sciences, In, UN Workshops on Basic Science (Bangalore), pp. 201-205. (1991).

 

(126). A.M. Mathai : International cooperation in basic sciences research –its significance for developing countries: a personal experience, In, UN Workshops on Basic Space Science (Bangalore), pp. 40-48, (1991).

 

(127). A.M. Mathai : Special functions of matrix arguments and statistical distributions, Indian Journal of Pure and Applied Mathematics, 22(11), 887-903, (1991).

 

(128). A.M. Mathai : On fractional moments of quadratic expressions in normal variables, Communications in Statistics (Theory & Methods), 20(10), 3159-3174, (1991).

 

(129). A.M. Mathai and P.G. Moschopoulos : On a multivariate gamma, Journal of Multivariate Analysis, 39, 135-153, (1991).

 

(130). H.J. Haubold and A.M. Mathai : On gravitational instability, Astronomische Nachrichten, 312(1), 1-6, (1991).

 

(131). H.J. Haubold and A.M. Mathai : Analytic solar structure, Astrophysics and Space Science, 176, 51-60, (1991).

 

(132). A.M. Mathai : Jacobians of Matrix Transformations I, Centre for Mathematical Sciences, Trivandrum, India, (1992).

 

(133). A.M. Mathai and S.B. Provost : Quadratic Forms in Random Variables: Theory and Applications, Marcel Dekker, New York, (1992).

 

(134). A.M. Mathai and P.G. Moschopoulos : A form of multivariate gamma distributions, Annals of the Institute of Statistical Mathematics, 44(1), 97-106, (1992).

 

(135). A.M. Mathai : On moments of ratios of quadratic expressions (invited paper), International Journal of Mathematical and Statistical Sciences, 1(1), 5-20, (1992).

 

(136). H.J. Haubold and A.M. Mathai : Analytic stellar structure, Astrophysics and Space Science, 197, 153-161, (1992).

 

(137). A.M. Mathai : On linear functions of certain non-central versions of independent gamma variable, Journal of Multivariate Analysis, 41(2), 178-193, (1992).

 

(138). A.M. Mathai : On bilinear forms in normal variables, Annals of the Institute of Statistical Mathematics, 44, 769-779, (1992).

 

(139). A.M. Mathai : Hypergeometric Functions of Several Matrix Arguments, Centre for Mathematical Sciences, Trivandrum, India, (1993).

 

(140). A.M. Mathai : A Handbook of Generalized Special Functions for Statistical and Physical Sciences, Oxford University Press, Oxford, (1993).

 

(141). A.M. Mathai and G. Pederzoli : A routing problem with time constraint and related stochastic models, Quaderni di Statistica, XV(1), 3-17, (1993).

 

(142). A.M. Mathai and G. Pederzoli : Kampé de Fériet’s functions of matrix arguments, Metron, LI(3-4), 3-24, (1993).

 

(143). A.M. Mathai : Possible extensions of a generalized special function to matrix variables cases, Ganita Sandesh, 7(2), 49-61, (1993).

 

(144). A.M. Mathai : Generalized Laplace distribution with applications (invited paper), Journal of Applied Statistical Science, 1(2), 169-178, (1993).

 

(145). A.M. Mathai : On non-central generalized Laplacianness of quadratic forms in normal variables, Journal of Multivariate Analysis, 45, 239-246, (1993).

 

(146). A.M. Mathai : The residual effect of a growth-decay mechanism and the distributions of covariance structures, The Canadian journal of Statistics, 21(3), 277-283, (1993).

(147). A.M. Mathai and R.S. Katiyar : A new algorithm for nonlinear least squares, Researches in Mathematical Statistics (Russian), 207(10), 143-157, (1993).

 

(148). A.M. Mathai and P.G. Moschopoulos : On a multivariate beta, Statistica, LIII(2), 231-241, (1993).

 

(149). A.M. Mathai : Lauricella functions of real symmetric positive definite matrices, Indian Journal of Pure and Applied Mathematics, 24(9), 513-531, (1993).

 

(150). A.M. Mathai : Appell’s and Humbert’s functions of matrix arguments, Linear Algebra and Its Applications, 183, 202-221, (1993).

 

(151). A.M. Mathai : On noncentral generalized Laplacian distribution, Journal of Statistical research, 27(1&2), 57-80, (1993).

 

(152). A.M. Mathai : On the distributional aspect of random geometric configurations, International Journal of Mathematical and Statistical Sciences, 3(1), 79-109, (1994).

 

(153). H.J. Haubold and A.M. Mathai : Computational aspects of the gravitational instability problem for a multicomponent cosmological medium, Astrophysics and Space Science, 214(1&2), 139-149, (1994).

 

(154). W.J. Anderson, H.J. Haubold and A.M. Mathai : Astrophysical thermonuclear functions, Astrophysics and Space Science, 214(1&2), 49-70, (1994).

 

(155). A.M. Mathai : Generalized Laplacian and bilinear forms (invited paper), Journal of the Indian Society for Probability and Statistics, 1, 1-17, (1994).

 

(156). H.J. Haubold and A.M. Mathai : Solar nuclear energy generation and the chlorine solar neutrino experiment, American Institute of Physics, Conference Proceedings, 320, pp. 102-116, (1994).

 

(157). H.J. Haubold and A.M. Mathai : The determination of the internal structure of the Sun by the density distribution, American Institute of Physics, Conference Proceedings, 320, 89-101, (1994).

 

(158). H.J. Haubold and A.M. Mathai : A heuristic remark on the periodic variation in the number of solar neutrinos detected on Earth, Astrophysics and Space Science, 228, 113-134, (1995).

 

(159). H.J. Haubold and A.M. Mathai : Solar structure in terms of Gauss’ hypergeometric functions, Astrophysics and Space Science, 228, 77-86, (1995).

 

(160). A.M. Mathai and G. Pederzoli : Hypergeometric functions of many matrix variables and the distributions of generalized quadratic forms, American Journal of Mathematical and Management Sciences, 15(3&4), 343-354, (1995).

 

(161). A.M. Mathai : Special functions of matrix arguments-I,

Proceedings of the National Academy of Sciences, India, LXV(II), 121-142, (1995).

 

(162). A.M. Mathai : Special functions of matrix arguments-II,

Proceedings of the National Academy of Sciences, India, LXV(III), 227-251, (1995).

 

(163). A.M. Mathai : Special functions of matrix arguments-III,

Proceedings of the National Academy of Sciences, India, LXV(IV),  367-393, (1995).

 

(164). A.M. Mathai and P.G. Moschopoulos : The distribution of the standard F-ratio in one-way ANOVA with multinomially distributed cell sizes, International Journal of Mathematical and Statistical Sciences, 4(1), 63-74, (1995).

 

(165). A.M. Mathai, S.B. Provost, and T. Hayakawa : Bilinear Forms and Zonal Polynomials, Springer-Verlag, Lecture Notes in Statistics, No.102, New York, (1995).

 

(166). A.M. Mathai and G. Pederzoli : Moments of generalized quadratic forms and distributions of certain multivariate test statistics, Journal of the Italian Statistical Society, 3, 345-356, (1995).

 

(167). A.M. Mathai and G. Pederzoli : A simple derivation of the chisquare approximation of Pearson’s statistic, Statistica, LVI (4), 407-413, (1996).

 

(168). A.M. Mathai : Whittaker and G-functions of matrix argument in the complex case, International Journal of Mathematical and Statistical Sciences, 5, 7-32, (1996).

 

(169). A.M. Mathai : Special functions of matrix argument-IV, Proceedings of the National Academy of Sciences, India, LXVI(A1), 1-22, (1996).

 

(170). A.M. Mathai and G. Pederzoli : Some transformations of functions of matrix arguments, Indian Journal of Pure and Applied Mathematics, 27(3), 277-284, (1996).

 

(171). A.M. Mathai and P.G. Moschopoulos : A multivariate inverted beta model, Statistica, LVII(2), 189-197, (1997).

 

(172). A.M. Mathai and G. Pederzoli : Some properties of matrix-variate Laplace transform and matrix-variate Whittaker functions, Linear Algebra and Its Applications, 253, 209-226, (1997).

 

(173). H.J. Haubold and A.M. Mathai : Sun, In, Encyclopaedia of Planetary Sciences, J.H. Shirley and R.W. Fairbridge, eds, Chapman and Hall, London, pp. 786-794, (1997).

 

(174). A.M. Mathai and G. Pederzoli : Random points with reference to a circle, revisited. Rendiconti del Circolo Matematico di Palermo, Serie II, Suppl., 50, 235-258, (1997).

 

(175). A.M. Mathai : Jacobians of Matrix Transformations and Functions of Matrix Argument, World Scientific Publishing, New York, (1997).

 

(176). Mathai and G. Pederzoli : On Whittaker function of matrix argument, Linear Algebra and Its Applications, 269, 91-103, (1998).

 

(177). H.J. Haubold and A.M. Mathai : On thermonuclear reaction rates, Astrophysics and Space Science, 258, 185-199, (1998).

 

(178). H.J. Haubold and A.M. Mathai : Universe, structure of the, Encyclopedia of Applied Physics, 23, pp. 47-51, (1998).

 

(179). H.J. Haubold and A.M. Mathai : An integral arising frequently in astronomy and physics, SIAM Review, 40(4), 995-997, (1998).

 

(180). A.M. Mathai : The concept of correlation and misinterpretations, International Journal of Mathematical and Statistical Sciences, 7(2), 157-167, (1998).

 

(181). A.M. Mathai : On Pearson’s statistic for goodness-of-fit, International Journal of Mathematical and Statistical Sciences, 7(2), 187-200, (1998).

 

(182). A.M. Mathai : Random distances associated with triangles, International Journal of Mathematical and Statistical Sciences, 7(1), 77-96, (1998).

 

(183). A.M. Mathai : Pollution by vehicular travels from the suburbs to the city core, Environmetrics, 9, 617-628, (1998).

 

(184). A.M. Mathai, P.G. Moschopoulos and G. Pederzoli : Distance between random points in a cube, Statistica, LIX(I), 61-81, (1999)

 

(185). A.M. Mathai, P.G. Moschopoulos and G. Pederzoli : Random points associated with rectangles, Rendiconti del Circolo Matematico di Palermo, XLVIII, 163-190, (1999).

 

(186). A.M. Mathai and P.G. Moschopoulos : Pollution by vehicular travels from satellite townships to the city, Environmetrics, 10, 791-802, (1999).

 

(187). A.M. Mathai : An Introduction to Geometrical Probability: Distributional Aspects with Applications, Gordon and Breach, Newark, (1999).

 

(188). A.M. Mathai : Buffon type problem in the Euclidean space R3, Rendiconti del Circolo Matematico di Palermo, XLVIII, 487-506, (1999).

 

(189). A.M. Mathai : Random p-content of a p-parallelotope in Euclidean n-space, Advances in Applied Probability, 31(2), 343-354, (1999).

 

(190). M.A. Chaudhry, H.J. Haubold and A.M. Mathai : Analytical study of thermonuclear reaction probability integrals, Astrophysics and Space Science, 273 (1-4), 43-52, (2000).

 

(191). H.J. Haubold and A.M. Mathai : The fractional kinetic equation and thermonuclear functions, Astrophysics and Space Science, 273(1-4), 53-63, (2000).

 

(192). A.M. Mathai : Distributions of random simplices through Jacobians of matrix transformations, Rendiconti del Circolo Matematico di Palermo, Serie II, Suppl., 65, 219-232, (2000).

 

(193). A.M. Mathai : Contents of random simplices and random parallelotopes, Proceedings of the McMaster Conference (appeared), (2000).

 

(194). A.M. Mathai and P.G. Moschopoulos : Testing hypotheses on variances in the presence of correlations, In, Probability and Statistical Models with Applications, edited by Ch. A. Charalambides, M.V. Koutras and N. Balakrishnan, Chapman and Hall, pp. 403-418, (2001).

 

(195). A.M. Mathai : Distributions of random volumes without using integral geometry techniques, In, Probability and Statistical Models with Applications, edited by Ch. A Charalambides, M.V. Koutras and N. Balakrishnan, Chapman and Hall, pp. 293-316, (2001).

 

(196). A.M. Mathai and S.B. Provost : On product moments of order statistics, Statistical Methods, 4(2), 75-98, (2002).

 

(197). H.J. Haubold, A.M. Mathai and R.K. Saxena : On fractional kinetic equations, Astrophysics and Space Science, 282, 281-287, (2002).

 

(198). H.J. Haubold and A.M. Mathai : Review of mathematical techniques applicable in astrophysical reaction rate theory, Astrophysics and Space Science, 282, 265-280, (2002).

 

(199). A.M. Mathai: Order statistics from a logistic distribution and applications to survival & reliability analysis, IEEE Transactions on Reliability, 52(2), 200-206, (2003).

 

(200).  A.M. Mathai: On a general multivariate Dirichlet density and its applications. In Statistical Methods and Practice: Recent Advances, Edited by N. Balakrishnan, N. Kannan and M.R. Sreenivasan, Narosa Publishing House, Chennai, pp. 57-67.

 

(201). A.M. Mathai and S.B. Provost : On the distribution of order statistics from generalized logistic samples, Metron, LXII(1), 63-71, (2004).

 

(202). R.K. Saxena, A.M. Mathai and H.J. Haubold : Unified fractional kinetic equation and a fractional diffusion equation, Astrophysics and Space Science, 290, 299-310, (2004).

 

(203). H.J. Haubold, A.M. Mathai and R.K. Saxena : Boltzmann-Gibbs entropy versus Tsallis entropy (Essay Review), Astrophysics and Space Science, 290, 241-245, (2004).

 

(204). R.K. Saxena, A.M. Mathai and H.J. Haubold : Astrophysical thermonuclear functions for Boltzmann-Gibbs statistics and Tsallis statistics, Physica A, 344, 649-656, (2004).

 

(205). R.K. Saxena, A.M. Mathai and H.J. Haubold : On generalized fractional kinetic equations, Physica A, 344, 657-664, (2004).

 

(206). Joy Jacob, K.K. Jose and A.M. Mathai : Some properties of real matrix-variate inverted generalized Dirichlet integral, Journal of the Indian Academy of Mathematics, 26(1), 175-189, (2004).

 

(207). K.M. Kurian, Benny Kurian and A.M. Mathai : A matrix-variate extension of inverted Dirichlet integral, Proceedings of the National Academy of Sciences (India), 74(A), II, pp. 1-10, (2004),.

 

(208). Joy Jacob, Sebastian George And A.M. Mathai : Some properties of complex matrix-variate generalized Dirichlet integrals, Proceedings of the Indian Academy of Sciences, 15(3), 1-9, (2005).

 

(209). A.M. Mathai : A pathway to matrix-variate gamma and normal densities, Linear Algebra and Its Applications, 396, 317-328 (2005).

 

(210). A.M. Mathai and Serge B. Provost : Some complex matrix-variate statistical distributions on rectangular matrices. Linear Algebra and Its Applications, 410, 198-216, (2005).

 

(211). A.M. Mathai and Serge B. Provost : On q-logistic and related distributions, IEEE Transactions on Reliability, 55(2), 237-244 ( 2006).

 

(212). A.M. Mathai, R.K. Saxena and H.J. Haubold : A certain Class of Laplace Transforms with Applications to Reaction and Reaction-Diffusion Equations, Astrophysics and Space Science, 305, 283-288 (2006).

 

(213). R.K. Saxena, A.M. Mathai and H.J. Haubold :  Fractional Reaction-Diffusion Equations, Astrophysics and Space Science, 305, 289-296 (2006).

 

(214). R.K. Saxena, A.M. Mathai and H.J. Haubold : Reaction Diffusion Systems and Nonlinear Waves, Astrophysics and Space Science, 305, 297-303 (2006).

 

(215). R.K. Saxena, A.M. Mathai and H.J. Haubold : Solution of Generalized Fractional Reaction Diffusion Equations, Astrophysics and Space Science, 305, 305-313 (2006).

 

(216). A.M. Mathai and Serge B. Provost : Various generalizations to the Dirichlet distribution, Statistical Methods, 8(2), 142-163 (2006).

 

(217).  R.K. Saxena, A.M. Mathai and H.J. Haubold : Solutions of fractional reaction-diffusion equations in terms of Mittag-Leffler functions, International Journal of Scientific Research, 15, 1-17 (2006).

 

(218).  A.M. Mathai : A review of the recent developments on generalized complex            matrix-variate Dirichlet integrals, Proceedings of the 7th International Conference of SSFA, 7, 131-142 (2006).

 

(219). A.M. Mathai and H.J. Haubold : Pathway model, superstatistics, Tsallis statistics and a generalized measure of entropy, Physica A, 375, 110-122 ( 2007).

 

(220).  A. M. Mathai :: Random volumes under a general matrix-variate model, Linear Algebra and Its Applications, 425, 162-170 (2007).

 

(221). M. Kitamura, D. Wentzel, A.A. Henden, J. Bennett, H.M.K. Al-Naimiy, A.M. Mathai, H.J. Haubold : The United Nations Basic Space Science Initiative: The TRIPOD Concept . In “Astronomy for the developing world”, J.B. Hearnshaw and P. Martines, eds, International Astronomical Union,  2007, pp.277-284.

 

(222). A.M. Mathai and H.J. Haubold : On generalized entropy measures and pathways, Physica A, 385, 493-500 (2007).

 

(223).  A.M. Mathai and H.J. Haubold : On entropic, distributional, and differential pathways. Bull. Astr. Soc. India , 35, 669-680 (2007).

 

(224).   H.J. Haubold, A.M. Mathai and R.K. Saxena : Solutions of fractional reaction-diffusion equations in terms of the H-function. Bull. Astr. Soc. India , 35, 681-689 (2007).

 

(225).  Seemon Thomas and A.M. Mathai : On a matrix-variate generalized type-2 Dirichlet density. Advances and Applications in Statistics, 8(1), 37-56 (2008).

 

(226).  A.M. Mathai and H.J. Haubold : On generalized distributions and pathways.  Physics Letters A, 372, 2109-2113 (2008)

 

(227). A.M. Mathai and H.J. Haubold : Pathway parameter and thermonuclear functions, Physica A, 387, 2462-2470  (2008),

 

(228).  A.M. Mathai and H.J. Haubold : Special Functions for Applied Scientists, Springer, New York, (2008), pp.464+xxv.

 

(229).  Seemon Thomas, Alex Thannippara and A.M. Mathai : On a matrix-variate generalized type -1 Dirichlet model, Journal of Probability and Statistical Science, 6(2), 187-200 (2008).

 

(230)  A.M. Mathai : Fractional integrals in the matrix-variate cases and connection to statistical distributions. Integral Transforms and Special Functions, 20(12), 871-882 (2009).

 

(231).  R.K. Saxena, A.M. Mathai and H.J. Haubold : Solutions of the fractional reaction equation and the fractional diffusion equation. Astrophysics & Space Science Proceedings  pp.53-62.(2010)

 

(232). R.K. Saxena, A.M. Mathai and H.J. Haubold : An alternative method for solving a certain class of fractional kinetic equations. Astrophysics & Space Science Proceedings, pp. 35-40 (2010).

 

(233)  R.K. Saxena, A.M. Mathai and H.J. Haubold (2009): Solutions of the fractional kinetic equations . Astrophysics & Space Science (to appear)

 

(234)  Seemon Thomas and A.M. Mathai (2009): p-content of p-parallelotope and its connection to likelihood ratio statistic, Sankhya Series A, 71(1), 49-63.

 

(235)  A.M. Mathai (2009): Some properties of Mittag-Leffler functions and matrix-variate analogues: A statistical perspective, Fractional Calculus and Applied Analysis, 13(1), 2010 (to appear)

 

(236). A.M. Mathai and H.J. Haubold : A pathway to generalized multivariate Gaussian and other distributions.

 

(237). A.M. Mathai and H.J. Haubold : A general overview of pathway model, Tsallis statistics and generalizations.

 

(238). A.M. Mathai : Extensions of multivariate Gaussian model (Paper for the Bombay conference)

 

(239). A.M. Mathai : Random matrices and elementary special functions (Paper for the Pala conference) 

 

(240). A.M. Mathai and H.J. Haubold :  Tsallis statistics, superstatistics and Mathai’s distributional pathway, 2007 .

 

(241).  H.J. Haubold, A.M,. Mathai and Seemon Thomas : An entropic pathway to multivariate Gaussian density.  Annalen der Physik,  ArXiv:0709,3820v1 [cond-mat.stat-mech] 24 Sep 2007