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LECTURES IN MATHEMATICAL STATISTICS

1 Sets and Boolean Algebra

2 The Binomial Distribution

3 The Multinomial Distribution

4 The Poisson Distribution

5 The Binomial Moment Generating Function

6 The Normal Moment Generating Function

7 Characteristic Functions and the Uncertainty Principle

8 The Bivariate Normal Distribution

9 The Multivariate Normal Distribution

10 Conditional Expectations and Linear Regression

11 Sampling Distributions

12 Maximum Likelihood Estimation

13. Regression Estimation via Maximum Likelihood

14 Cochrane's Theorem

15 Stochastic Convergence

EXERCISES