Handouts

    0. Mathematical results and definitions
 

1. Probability Introduction - Part I
2. Probability Introduction - Part 2
3. Distributions Table  Distributions Map
4. Some Inequalities
5. Characteristic Functions Inversion Formulae
6. Multivariate Distribution Facts
7. Multivariate Distribution Worked Examples
8. Multivariate Transformations
9. Multivariate Transformation: Cauchy Example
10. Multivariate Distributions
11. Families of Distributions
12. Fisher Information for the Location-Scale Family
13. Sampling in the Normal Family
14. Order statistics
15. Modes of Convergence
16. Asymptotic Normality

        Examples Class 21/11/2019 notes
 

1. Assignment 1 Solutions 1
2. Assignment 2 Solutions 2
3. Assignment 3 Solutions 3
4. Assignment 4 Solutions 4

Midterm:

• Practice Solutions
• Midterm Solutions

1. Exercises 1 Solutions 1
2. Exercises 2 Solutions 2
3. Exercises 3 Solutions 3
4. Exercises 4 Solutions 4
5. Exercises 5 Solutions 5
6. Exercises 6 Solutions 6
7. Exercises 7 Solutions 7

R and knitr Scripts

    Math556.sty

1. Distributions: pdf rnw
2. Random Numbers and Monte Carlo: pdf rnw
3. Exchangeability: pdf rnw
4. Hierarchical Models: pdf rnw
5. Convergence in Distribution: pdf rnw

Past Midterms 

2006 Solutions
2007 Solutions
2008 Solutions

Past Finals
2006 Solutions
2007 Solutions
2008 Solutions  (Sketch)

2010 Solutions  Set by Prof. Neslehova
2011 Solutions  Set by Prof. Neslehova
2012   Set by Prof. Neslehova
2013   Set by Prof. Neslehova