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.