Hogg R.V., Craig A., McKean J.W. Introduction to Mathematical Statistics

Pearson, 2005. – 692 p. – 6th ed. – ISBN: 0130085073, 0131226053, 9780130085078This classic book retains its outstanding ongoing features and continues to provide readers with excellent background material necessary for a successful understanding of mathematical statistics.
Chapter topics cover classical statistical inference procedures in estimation and testing, and an in-depth treatment of sufficiency and testing theory—including uniformly most powerful tests and likelihood ratios. Many illustrative examples and exercises enhance the presentation of material throughout the book. For a more complete understanding of mathematical statistics.Probability and Distributions
Multivariate Distributions
Some Special Distributions
Unbiasedness, Consistency, and Limiting Distributions
Some Elementary Statistical Inferences
Maximum Likelihood Methods
Sufficiency
Optimal Tests of Hypotheses
Inferences about Normal Models
Nonparametric Statistics
Bayesian Statistics
Linear Models
Apendixses:
A. Mathematics
B. R and S-PLUS Functions
C. Tables of Distributions
D. References
E. Answers to Selected Exercises