**Office:**Monroe Hall, Rm 224**Phone #:**(434) 924-6754**E-mail:**sns5r@virginia.edu

- Hogg, Robert, Joseph McKean, and Allen Craig,
*Introduction to Mathematical Statistics*, 7th Edition - Casella, George and Roger Berger,
*Statistical Inference*, 2nd Edition - Class notes

| Distributions | |||

A: | Random Experiments | Help w/ Understanding Urns and Dice | ||

B: | Properties of Probability | |||

C: | Methods of Enumeration | Homework 1 | ||

D: | Conditional and Marginal Probability | |||

E: | Discrete Random Variables and Distributions | Homework 2 | ||

F: | Expectation | |||

G: | Examples of Discrete Distributions | |||

H: | Moment Generating Functions | Homework 3 | ||

I: | Discrete Multivariate Random Variables and Distributions | |||

J: | Covariance and Correlation | |||

K: | Conditional Distributions | Homework 4 | ||

L: | Continuous Random Variables and Distributions | |||

M: | Examples of Continuous Distributions | |||

N: | Continuous Multivariate Random Variables and Distributions | Homework 5 | Extra Credit | Help with Extra Credit |

| Sampling Distribution Theory | |||

A: | Distributions of Functions of Random Variables | |||

B: | Sums of Independent Random Variables | |||

C: | Chi-Square Distribution | |||

D: | t-Distribution & F-Distribution | Homework 6 | ||

| Limiting Distributions | |||

A: | Central Limit Theorems | |||

B: | Approximations for Discrete Distributions | |||

C: | Limiting Moment Generating Functions | Homework 7 | ||

| Estimation | |||

A: | Intuition/Roadmap | |||

B: | Maximum Likelihood Estimation | Homework 8 | ||

C: | Attractive Properties of Estimators | |||

D: | Method of Moments | |||

E: | Asymptotic Theory | Homework 9 | ||

F: | Nonparametric and Semiparametric Density Estimation | Homework 10 | ||

| Testing | |||

A: | Examples | |||

B: | Definitions | |||

C: | More Examples | |||

D: | Best Critical Regions and Likelihood Ratio Tests | |||

E: | Wald Tests, Lagrange Multiplier Tests, and Likelihood Ratio Tests | Homework 11 | ||

F: | Confidence Intervals | |||

| Bayesian Statistics | |||

A: | Bayes Theorem | |||

B: | Terminology and Philosophy | |||

C: | Examples | Homework 12 | ||

D: | How to Handle the Occurance of an Event w/ Zero Prior Probability | |||

| Extra Applications | |||

- Class Requirements

- My research interests
- Department of Economics at UVa Includes major and minor information
- Importance Simulator

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