**1. Probability Models.**
1.1 Discrete Probability Models.

1.2 Conditional Probability and Independence.

1.3 Random Variables.

1.4 Expectation.

1.5 The Variance.

1.6 Covariance and Correlation.

**2. Special Discrete Distributions.**

2.1 The Binomial Distribution.

2.2 The Hypergeometric Distribution.

2.3 The Geometric and Negative Binomial Distributions.

2.4 The Poisson Distribution.

**3. Continuous Random Variables.**

4.1 Continuous RV's and Their Distributions.

4.2 Expected Values and Variances.

4.3 Transformations of Random Variables.

4.4Joint Densities.

**4 Special Continuous Distributions.**

4.1 The Normal Distribution.

4.2 The Gamma Distribution.

**5. Conditional Distributions.**

5.1 The Discrete Case.

5.2 Conditional Expectations for the Discrete Case.

5.3 Conditional Densities and Expectations for Continuous RV's.

**6. Limit Laws.**

6.1 Moment Generating Functions.

6.2 Convergence in Probability and in Distribution.

6.3 The Central Limit Theorem.

6.4 The Delta-Method.

**7. Estimation.**

7.1 Point Estimation.

7.2 The Method of Moments.

7.3 Maximum Likelihood.

7.4 Consistency.

7.5 The Ω-Method.

7.6 Confidence Intervals.

7.7 Fisher Information, The Cramer-Rao Bound, and Asymptotic Normality of MLE's.

7.8 Sufficiency.

**8. Testing Hypotheses.**

8.1 Introduction.

8.2 The Neyman-Pearson Lemma.

8.3 The Likelihood Ratio Test.

8.4 The p-Value and the Relationship Between Tests of Hypotheses and Confidence Intervals.

**9. The Multivariate Normal, Chi-square, t, and F-Distributions.**

9.1 The Multivariate Normal Distribution.

9.2 The Central and Noncentral Chi-Square Distributions.

9.3 Student's t-Distribution.

9.4 The F-Distribution.

**10.3 Nonparametric Statistics.**

10.1 The Wilcoxon Test and Estimator.

10.2 One Sample Methods.

10.3 The Kolmogorov-Smirnov Tests.

**11. Linear Models.**

11.1 The Principle of Least Squares.

11.2 Linear Models.

11.3 F-Tests for H0.

11.4 Two-Way Analysis of Variance..

**12. Frequency Data.**

12.1 Logistic Regression.

12.2 Two-Way Frequency Tables.

12.3 Chi-Square Goodness of Fit Tests.

**13. Miscellaneous Topics.**

13.1 Survival Analysis.

13.2 Bootstrapping.

13.3 Bayesian Statistics.

13.4 Sampling.