Handouts

0. Mathematical results and definitions
1. Probability Introduction - Part I
2. Probability Introduction - Part 2
3. Distributions Table  Distributions Map
4. Multivariate Distribution Facts
5. Assessing Independence
6. Some Multivariate Examples
7. Some Inequalities
8. Properties of characteristic functions
9. Multivariate Distribution Examples
10. Special 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

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

Midterm:

• Practice Solutions
• 2019 Midterm Solutions
• 2022 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. Calculations with cfs: pdf rnw
3. Random Numbers and Monte Carlo: pdf rnw
4. Exchangeability: pdf rnw
5. Hierarchical Models: pdf rnw
6. Convergence in Distribution: pdf rnw
7. Delta Method: 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