Theoretical Statistics

by D.R. Cox, D.V. Hinkley

Overview

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.

Product Details

ISBN-13:	9781138469600
Publisher:	Taylor & Francis
Publication date:	11/10/2017
Pages:	528
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Cox, D.R.; Hinkley, D.V.

Table of Contents

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

Editorial Reviews

"...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."
-Technometrics

From the Publisher