Optimal statistical decisions

書誌事項

Optimal statistical decisions

Morris H. DeGroot

(Wiley classics library)

Wiley-Interscience, 2004

Wiley classics library ed

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注記

Includes bibliographical references (p. 447-471) and indexes

内容説明・目次

内容説明

The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists.

目次

Foreword vii Preface ix Part One. Survey of Probability Theory Chapter 1. Introduction 3 Chapter 2. Experiments, Sample Spaces, and Probability 6 Chapter 3. Random Variables, Random Vectors, and Distribution Functions 16 Chapter 4. Some Special Univariate Distributions 33 Chapter 5. Some Special Multivariate Distributions 48 Part Two. Subjective Probability and Utility Chapter 6. Subjective Probability 69 Chapter 7. Utility 86 Part Three. Statistical Decision Problems Chapter 8. Decision Problems 121 Chapter 9. Conjugate Prior Distributions 155 Chapter 10. Limiting Posterior Distributions 190 Chapter 11. Estimation, Testing Hypotheses, and linear Statistical Models 226 Part Four. Sequential Decisions Chapter 12. Sequential Sampling 267 Chapter 13. Optimal Stopping 324 Chapter 14. Sequential Choice of Experiments 385 References 447 Supplementary Bibliography 466 Name Index 475 Subject Index 481

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