Multiple Decision Procedures: Theory and Methodology of Selecting and Ranking Populations provides an encyclopedic coverage of the literature in the area of ranking and selection procedures, summarizing and surveying in a unified manner a majority of more than 600 main references in the bibliography. It also deals with related problems, such as the estimation of unknown ordered parameters. A separate chapter is devoted to information about several tables available in the literature for carrying out various specific procedures. Examples are given in another chapter illustrating applications of these procedures in various practical contexts. Although several books have appeared to date in this area, many of them deal with specific aspects of the field and a limited number of topics. This book contains substantial material not discussed in other books.
Audience This book can serve as a text for a graduate topics course in ranking and selection (as it has done at Purdue University for more than 30 years). It will also serve as a valuable reference for researchers and practitioners in various fields, such as agriculture, industry, engineering, and behavioral sciences.
Contents Preface to the Classics Edition; Preface; List of Abbreviations and Symbols; Chapter 1: Introduction; Part I: Indifference Zone Formulation. Chapter 2. Ranking of Normal Populations; Chapter 3: Some Optimum Properties of Fixed Subset Size Selection Rules; Chapter 4: Ranking and Selection Problems for Discrete Distributions; Chapter 5: Selection from Univariate Populations, Optimum Sampling, and Estimation of Probability of Correct Selection; Chapter 6: Sequential Selection Procedures; Chapter 7: Selection from Multivariate Populations; Chapter 8: Nonparametric Selection Procedures; Chapter 9: Fixed-Size Subset Selection: A Generalized Goal and Other Modifications; Chapter 10: Bayesian Selection and Ranking Procedures; Part II: Subset Selection Formulation. Chapter 11: Subset Selection: General Theory; Chapter 12: Selection from Univariate Continuous Populations; Chapter 13: Selection from Discrete Populations; Chapter 14: Selection from Multivariate Normal Populations; Chapter 15: Nonparametric Procedures; Chapter 16: Selection from Restricted Families of Probability Distributions; Chapter 17: Sequential Procedures; Chapter 18: Bayes, Empirical Bayes, and G-Minimax Procedures; Chapter 19: Some Modified Formulations and Other Related Problems; Part III: Comparison with a Control, Estimation, and Related Topics. Chapter 20: Comparison of Several Populations with a Standard or a Control; Chapter 21: Estimation of Ordered Parameters; Chapter 22: General Theory of Some Multiple-Decision Problems and Some Miscellaneous Topics; Chapter 23: Guide to Tables; Chapter 24: Illustrative Examples; Bibliography; Related References; Monographs, Books and Special Issues of Journals Devoted Fully or Partially to Ranking and Selection Problems; Author Index; Subject Index.
Author(s): Shanti S. Gupta, S. Panchapakesan
Series: Classics in applied mathematics 44
Edition: Revised
Publisher: Society for Industrial and Applied Mathematics
Year: 2002
Language: English
Pages: 597
City: Philadelphia
Multiple Decision procedures:Theory and Methodology of Selecting and Ranking Populations......Page 1
Contents......Page 10
Preface to the Classics Edition......Page 26
Preface......Page 30
CHAPTER 1 Introduction......Page 34
PART I INDIFFERENCE ZONE FORMULATION......Page 50
CHAPTER 2 Ranking of Normal Populations......Page 52
CHAPTER 3 Some Optimum Properties of Fixed Subset Size Selection Rules......Page 75
CHAPTER 4 Ranking and Selection Problems for Discrete Distributions......Page 92
CHAPTER 5 Selection from Univariate Populations,Optimum Sampling and Estimation of Probability of Correct Selection......Page 127
CHAPTER 6 Sequential Selection Procedures......Page 142
CHAPTER 7 Selection from Multivariate Populations......Page 163
CHAPTER 8 Nonparametric Selection Procedures......Page 175
CHAPTER 9 Fixed-Size Subset Selection:A Generalized Goal and Other Modifications......Page 209
CHAPTER 10 Bayesian Selection and Ranking Procedures......Page 220
PART II SUBSET SELECTION FORMULATION......Page 234
CHAPTER 11 Subset Selection:General Theory......Page 236
CHAPTER 12 Selection from Univariate Continuous Populations......Page 263
CHAPTER 13 Selection from Discrete Populations......Page 287
CHAPTER 14 Selection from Multivariate Normal Populations......Page 313
CHAPTER 15 Nonparamctric Procedures......Page 330
CHAPTER 16 Selection from Restricted Families of Probability Distributions......Page 350
CHAPTER 17 Sequential Procedures......Page 364
CHAPTER 18 Bayes, Empirical Bayes,and F-Minimax Procedures......Page 378
CHAPTER 19 Some Modified Formulations and Other Related Problems......Page 391
PART III COMPARISON WITH A CONTROL, ESTIMATION,AND RELATED TOPICS......Page 404
CHAPTER 20 Comparison of Several Populations with a Standard or a Control......Page 406
CHAPTER 21 Estimation of Ordered Parameters......Page 455
CHAPTER 22 General Theory of Some Multiple Decision Problems and Some Miscellaneous Topics......Page 492
CHAPTER 23 Guide to Tables......Page 508
CHAPTER 24 Illustrative Examples......Page 534
Bibliography......Page 553
Related References......Page 586
Monographs, Books and Special Issues of Journals Devoted Fully or Partly to Ranking and Selection Problems......Page 594
Author Index......Page 596
Subject Index......Page 602
