Introduction to mathematical statistics

For two-semester, beginning graduate courses in mathematical statistics, and for senior undergraduate mathematics, statistics, and actuarial science majors, this text retains its outstanding ongoing features and continues to provide students with excellent background material necessary for a successful understanding of mathematical statistics. 1. Probability and Distribution. 2. Multivariate Distributions. 3. Some Special Distributions. 4. Unbiasedness, Consistency, and Limiting Distributions. 5. Introduction to Inference. 6. Maximum Likelihood Methods. 7. Sufficiency. 8. Optimal Tests of Hypotheses. 9. Inferences about Normal Models. 10. Nonparametric Statistics. 11. Bayesian Statistics. 12. Comparison of Least Squares and Robust Procedures for Linear Models. Appendix A. Regularity Conditions. Appendix B. R-Functions