Page 23 - Probability and Statistical Inference

xviii Contents

12.3.1 The Distribution-Free Population Mean 543
12.3.2 The Binomial Proportion 548
12.3.3 The Poisson Mean 553
12.4 The Variance Stabilizing Transformations 555
12.4.1 The Binomial Proportion 556
12.4.2 The Poisson Mean 559
12.4.3 The Correlation Coefficient 560
12.5 Exercises and Complements 563

13 Sample Size Determination: Two-Stage
Procedures 569
13.1 Introduction 569
13.2 The Fixed-Width Confidence Interval 573
13.2.1 Stein’s Sampling Methodology 573
13.2.2 Some Interesting Properties 574
13.3 The Bounded Risk Point Estimation 579
13.3.1 The Sampling Methodology 581
13.3.2 Some Interesting Properties 582
13.4 Exercises and Complements 584

14 Appendix 591
14.1 Abbreviations and Notation 591
14.2 A Celebration of Statistics: Selected Biographical Notes 593
14.3 Selected Statistical Tables 621
14.3.1 The Standard Normal Distribution Function 621
14.3.2 Percentage Points of the Chi-Square Distribution 626
14.3.3 Percentage Points of the Student’s t Distribution 628
14.3.4 Percentage Points of the F Distribution 630

References 633

Index 649