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Elementary Decision Theoryby Herman Chernoff
Synopses & Reviews
This well-known and highly respected introduction to decision theory was developed at Stanford University. It furnishes a simple and clear-cut method of exhibiting the fundamental aspects of statistical problems. Beginners will find this treatment a motivating introduction to important mathematical notions such as set, function, and convexity. "Very clearly written with many illustrative examples and exercises." — Journal of the American Statistical Association.
This well-respected introduction to statistics and statistical theory covers data processing, probability and random variables, utility and descriptive statistics, computation of Bayes strategies, models, testing hypotheses, and much more. 1959 edition.
Beginners will find this well-respected introduction to statistics and statistical theory a motivating introduction to important mathematical notions such as set, function, and convexity. Other topics include data processing, probability, and random variables, models, testing hypotheses, and much more. Clearly written, brief, well-indexed, and abundantly equipped with exercise material. 1959 edition.
Table of Contents
1 INTRODUCTION 2 DATA PROCESSING 3 INTRODUCTION TO PROBABILITY AND RANDOM VARIABLES 4 UTILITY AND DESCRIPITIVE STATISTICS 5 UNCERTAINTY DUE TO IGNORANCE OF THE STATE OF NATURE 6 THE COMPUTATION OF BAYES STRATEGIES 7 INTRODUCTION TO CLASSICAL STATISTICS 8 MODELS 9 TESTING HYPOTHESES 10 ESTIMATION AND CONFIDENCE INTERVALS APPENDIX A NOTATION B MATHEMATICAL TABLES C TABLES OF RANDOM DEVIATES D TABLES OF PROBABILITY DISTRIBUTIONS E DERIVATIONS F MISCELLANEOUS REMARKS ABOUT GAME THEORY AND UTILITY THEORY PARTIAL LIST OF ANSWERS TO EXERCISES INDEX
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