Basic Concepts Of Probability And Statistics

J. L. Hodges, E. L. Lehmann9780898715750, 089871575X

Basic Concepts of Probability and Statistics provides a mathematically rigorous introduction to the fundamental ideas of modern statistics for readers without a calculus background. It is the only book at this level to introduce readers to modern concepts of hypothesis testing and estimation, covering basic concepts of finite, discrete models of probability and elementary statistical methods. Although published in 1970, it maintains a modern outlook, especially in its emphasis on models and model building and also by its coverage of topics such as simple random and stratified survey sampling, experimental design, and nonparametric tests and its discussion of power.
The book covers a wide range of applications in manufacturing, biology, and social science, including demographics, political science, and sociology. Each section offers extensive problem sets, with selected answers provided at the back of the book. Among the topics covered that readers may not expect in an elementary text are optimal design and a statement and proof of the fundamental (NeymanPearson) lemma for hypothesis testing.

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Table of contents :
Basic Concepts of Probability and Statistics Second Edition……Page 1
Contents……Page 10
Preface to the Classics Edition……Page 14
Preface to the Second Edition……Page 16
Preface to the First Edition……Page 18
PART I PROBABILITY……Page 22
CHAPTER 1 PROBABILITY MODELS……Page 24
CHAPTER 2 SAMPLING……Page 60
CHAPTER 3 PRODUCT MODELS……Page 83
CHAPTER 4 CONDITIONAL PROBABILITY……Page 109
CHAPTER 5 RANDOM VARIABLES……Page 153
CHAPTER 6 SPECIAL DISTRIBUTIONS……Page 187
CHAPTER 7 MULTIVARIATE DISTRIBUTIONS……Page 238
PART II STATISTICS……Page 258
INTRODUCTION……Page 260
CHAPTER 8 ESTIMATION……Page 264
CHAPTER 9 ESTIMATION IN MEASUREMENT AND SAMPLING MODELS……Page 281
CHAPTER 10 OPTIMUM METHODS OF ESTIMATION……Page 307
CHAPTER 11 TESTS OF SIGNIFICANCE……Page 330
CHAPTER 12 TESTS FOR COMPARATIVE EXPERIMENTS……Page 347
CHAPTER 13 THE CONCEPT OF POWER……Page 391
TABLES……Page 432
SELECTED ANSWERS TO PROBLEMS……Page 444
INDEX……Page 452
INDEX OF EXAMPLES……Page 460