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.
Preface, Chapter 1 Introduction, Chapter 2 Some general concepts, Chapter 3 Pure significance tests, Chapter 4 Significance tests: simple null hypotheses, Chapter 5 Significance tests: composite null hypotheses, Chapter 6 Distribution-free and randomization tests, Chapter 7 Interval estimation, Chapter 8 Point estimation, Chapter 9 Asymptotic theory, Chapter 10 Bayesian methods, Chapter 11 Decision theory, Appendix 1 Determination of probability distributions, Appendix 2 Order statistics, Appendix 3 Second-order regression for arbitrary random, References, Author Index, Subject Index
