511 pages, tables
A text that stresses the general concepts of the theory of statistics Theoretical Statistics provides a systematic statement of the theory of statistics, emphasizing general concepts rather than mathematical rigor. Chapters 1 through 3 provide an overview of statistics and discuss some of the basic philosophical ideas and problems behind statistical procedures. Chapters 4 and 5 cover hypothesis testing with simple and null hypotheses, respectively. Subsequent chapters discuss non-parametrics, interval estimation, point estimation, asymptotics, Bayesian procedure, and deviation theory. Student familiarity with standard statistical techniques is assumed.
"...the discussion is accessible and thought-provoking. The notes provide good entries to the literature on each chapter's topics as well as a brief historical survey of the topics...The exercises are challenging. Also of special interest are the numerous examples throughout the text."
- Some General Concepts
- Pure Significance Tests
- Significance Tests: Simple Null Hypotheses
- Significance Tests: Composite Null Hypotheses
- Distribution-Free and Randomization Tests
- Interval Estimation Point Estimation
- Asymptotic Theory
- Bayesian Methods
- Decision Theory
Appendix 1: Determination of Probability Distributions
Appendix 2: Order Statistics
Appendix 3: Second-Order Regression for Arbitrary Random Variables
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