CURRICULUM VITAE

Name: **A.M. MATHAI** (Arakaparambil Mathai Mathai =Mathai Mathai =

Date of birth: 28 April 1935

Place of birth:

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,

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

E-mail: mathai@math.mcgill.ca

Office address in

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

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

Home address in

Phone: 91+ 949542 7558 (mobile)

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

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

__Fellow __of the Institute of
Mathematical Statistics, (

__Fellow__ of the National

__Elected Member__ of the
International Statistical Institute (The

__Founder__:
The Canadian Journal of Statistics

__Founder__: Statistical
Science Association of

Founder’s award from the Statistical Society of Canada

Award (

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

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

Regional Editor for

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,

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).

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

__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 (

** 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)..

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

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

Number of
Ph.D students working under A.M. Mathai’s supervision in

Secondary School Certificate
(SSLC), 1951,

First Science Degree, 1953,

B.Sc Degree in Mathematics, 1957,

M. Sc Degree in Statistics, 1959,

M.A Degree in
Mathematics and Statistics,

Ph. D Degree in Mathematics and
Statistics,

Lecturer in Mathematics,

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,

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

** 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.

**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,

[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,

[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,

[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,

[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].

**1**. A.M. Mathai and R.K.
Saxena : *Generalized Hypergeometric
Functions with Applications in Statistics and Physical Sciences*,
Springer-Verlag, **348**, (1973).

**2**. A.M. Mathai and P.N.
Rathie : *Basic Concepts in Information
Theory and Statistics: Axiomatic Foundations and Applications*, Wiley

**3**. A.M. Mathai and G.
Pederzoli : *Characterizations of the
Normal Probability Law*, Wiley

**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*,

**6**. A.M. Mathai : *Distributions of Test Statistics*, edited
for the American Sciences Press,

**7**. A.M. Mathai and S.B.
Provost : *Quadratic Forms in Random
Variables: Theory and Applications*, Marcel Dekker,

**8**. A.M. Mathai : *Jacobians of Matrix Transformations I*,
Centre for Mathematical Sciences,

**9**. A.M. Mathai : *A Handbook of Generalized Special Functions
for Statistical and Physical Sciences*,

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

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

**12**. A.M. Mathai : *Jacobians of Matrix Transformations and Functions of Matrix Argument*,
World Scientific Publishing,

**13**. A.M. Mathai : *An Introduction to Geometrical Probability:
Distributional Aspects with Applications*, Gordon and Breach,

**14**. A.M. Mathai and H.J.
Haubold : *Special Functions for Applied Scientists*, Springer,

**15**. A.M. Mathai, H.J. Haubold and R.K. Saxena : *The H-function: Theory and Applications*,
Springer,

**[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

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

**23**. A.M. Mathai : *Introduction to Statistical Mathematics*,
Chand & Co,

**24**. A.M. Mathai and P.N.
Rathie : *Probability and Statistics*,
Macmillan and Co,

__BOOKS, MODULES AND
PROCEEDINGS EDITED BY A.M.MATHAI FOR THE CENTRE FOR MATHEMATICAL SCIENCES, __

**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, *, (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, *, (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 *, (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 *, CMS

**51.** A.M. Mathai
: *Lecture Notes of the *, CMS Pala Campus, 2005.

**52**. A.M. Mathai
: *Lecture Notes of the *, CMS Pala
Campus, 2006.

**53**. A.M. Mathai
: *Lecture Notes of the *, CMS Pala Campus, 2007.

**54**. A.M.
Mathai: *Lecture Notes of the *, 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,

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 *Publ.
L’ISUP, *,

**(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,

**(52).** Aleyamma George and A.M. Mathai : Applications
of the concepts of affinity and distance to population problems, *Journal of Biosocial Sciences (*

**(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

**(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,

**(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

**(66).** A.M. Mathai : A new approach to multivariate
statistical distributions, Proceedings of the 11^{th} 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 *,

**(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*,

**(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).** *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,

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

**(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 (*
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 (*
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,

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

**(134).** A.M. Mathai and P.G. Moschopoulos : A form
of multivariate gamma distributions, *Annals
of the *

**(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,

**(140).** A.M. Mathai : *A Handbook of Generalized Special Functions for Statistical and
Physical Sciences*,

**(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 *,

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

*Proceedings of the
National *,

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

*Proceedings of the
National *,

**(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**,

**(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,

**(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,

**(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

**(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 *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 7 ^{th} International Conference of
SSFA*,

**(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. *
,

**(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. *
,

**(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,

**(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

(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