Introduction to Mathematical Statistics

1. Probability and Distributions.

2. Multivariate Distributions.

3. Some Special Distributions.

4. Some Elementary Statistical Inferences

5. Consistency and Limiting Distributions

6. Maximum Likelihood Methods.

7. Sufficiency.

8. Optimal Tests of Hypotheses.

9. Inferences about Normal Models.

10. Nonparametric and Robust Statistics.

11. Bayesian Statistics.

Appendix A. Mathematical Comments

Appendix B. R-Functions.

Appendix C. Tables of Distributions

Appendix D. List of Common Distributions

Appendix E. References

Appendix F. Answers to Selected Exercises

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