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Author: Deng-Yuan Huang Publisher: ISBN: Category : Languages : en Pages : 78
Book Description
The report makes some contributions to the subset selection procedures - both for the fixed sample and the sequential case. Chapter 1 deals with some subset selection procedures for binomial populations in terms of the entropy functions, which is different from the usual selection problem in terms of the success probabilities. In Chapter 2, some fixed sample optimal subset selection procedures are discussed for model I and II problems in the analysis of variance in treatments versus control, and a method for constructing some subset selection procedures is derived. Chapter 3 discusses a method for constructing some sequential subset selection procedures and some optimal sequential subset selection procedure in treatments versus control. An upper bound on the expected sample size for Bechhofer-Kiefer-Sobel sequential selection procedure with indifference zone approach is also derived. (Author).
Author: Deng-Yuan Huang Publisher: ISBN: Category : Languages : en Pages : 78
Book Description
The report makes some contributions to the subset selection procedures - both for the fixed sample and the sequential case. Chapter 1 deals with some subset selection procedures for binomial populations in terms of the entropy functions, which is different from the usual selection problem in terms of the success probabilities. In Chapter 2, some fixed sample optimal subset selection procedures are discussed for model I and II problems in the analysis of variance in treatments versus control, and a method for constructing some subset selection procedures is derived. Chapter 3 discusses a method for constructing some sequential subset selection procedures and some optimal sequential subset selection procedure in treatments versus control. An upper bound on the expected sample size for Bechhofer-Kiefer-Sobel sequential selection procedure with indifference zone approach is also derived. (Author).
Author: Shanti S. Gupta Publisher: SIAM ISBN: 0898715326 Category : Mathematics Languages : en Pages : 592
Book Description
An encyclopaedic coverage of the literature in the area of ranking and selection procedures. It also deals with the estimation of unknown ordered parameters. This book can serve as a text for a graduate topics course in ranking and selection. It is also a valuable reference for researchers and practitioners.
Author: S. Panchapakesan Publisher: Springer Science & Business Media ISBN: 1461223083 Category : Mathematics Languages : en Pages : 478
Book Description
Shanti S. Gupta has made pioneering contributions to ranking and selection theory; in particular, to subset selection theory. His list of publications and the numerous citations his publications have received over the last forty years will amply testify to this fact. Besides ranking and selection, his interests include order statistics and reliability theory. The first editor's association with Shanti Gupta goes back to 1965 when he came to Purdue to do his Ph.D. He has the good fortune of being a student, a colleague and a long-standing collaborator of Shanti Gupta. The second editor's association with Shanti Gupta began in 1978 when he started his research in the area of order statistics. During the past twenty years, he has collaborated with Shanti Gupta on several publications. We both feel that our lives have been enriched by our association with him. He has indeed been a friend, philosopher and guide to us.
Author: S. S. Gupta Publisher: Springer Science & Business Media ISBN: 1461259258 Category : Mathematics Languages : en Pages : 113
Book Description
The theory and practice of decision making involves infinite or finite number of actions. The decision rules with a finite number of elements in the action space are the so-called multiple decision procedures. Several approaches to problems of multi ple decisions have been developed; in particular, the last decade has witnessed a phenomenal growth of this field. An important aspect of the recent contributions is the attempt by several authors to formalize these problems more in the framework of general decision theory. In this work, we have applied general decision theory to develop some modified principles which are reasonable for problems in this field. Our comments and contributions have been written in a positive spirt and, hopefully, these will an impact on the future direction of research in this field. Using the various viewpoints and frameworks, we have emphasized recent developments in the theory of selection and ranking ~Ihich, in our opinion, provides one of the main tools in this field. The growth of the theory of selection and ranking has kept apace with great vigor as is evidenced by the publication of two recent books, one by Gibbons, Olkin and Sobel (1977), and the other by Gupta and Panchapakesan (1979). An earlier monograph by Bechhofer, Kiefer and Sobel (1968) had also provided some very interest ing work in this field.
Author: Shanti S. Gupta Publisher: ISBN: Category : Languages : en Pages : 25
Book Description
Research on selection and ranking problems and multivariate distribution theory has been carried out on several aspects of the problem. The significant results obtained relate to univariate and multivariate populations using parametric as well as non-parametric procedures. Some work has been done in the area of sequential selection procedures under the subset selection formulation. Also a beginning has been made for selection from populations which are partially ordered in some sense with respect to a known population G.A few results have been obtained using a decision-theoretic approach to the problem of selection and ranking. Currently the attention is being focused on the construction of decision rules under certain 'optimality' conditions. All these problems were examined under the subset selection formulation. (Author).
Author: S. Panchapakesan Publisher: ISBN: Category : Languages : en Pages : 133
Book Description
Let Pi sub i, i=1, ..., k, be a continuous population with associated distribution function F sub lambda sub i, (lambda sub i) epsilon Lambda an interval on the real line. Chapter I defines a class of procedures for selecting a non-empty subset of the k populations, such that the probability of a correct selection (PCS), i.e. selection of a subset which includes the population with the largest (smallest) lambda sub i, is at least P*, a preassigned level. A generalization of a result of Lehmann is used to obtain a sufficient condition for the monotonicity of a probability integral leading to the evaluation of the infimum of PCS over the parameter space. Results concerning the supremum of the expected subset size are obtained. More specific results are obtained when the density f sub lambda (x) is a convex mixture of a sequence of known density functions. The next chapter examines the selection from multivariate normal populations in terms of multiple correlation coefficient and illustrates the applications of the results of Chapter I. In Chapter III, a partial ordering (h-ordering) is defined on the space of probability distributions and selection from populations h-ordered w.r.t. a known distribution G is discussed. The last chapter briefly discusses some possible variations in the goal and the procedures. (Author).
Author: Nitis Mukhopadhyay Publisher: CRC Press ISBN: 9780824790783 Category : Mathematics Languages : en Pages : 434
Book Description
"This useful volume provides a thorough synthesis of second-order asymptotics in multistage sampling methodologies for selection and ranking unifying available second-order results in general and applying them to a host of situations Contains, in each chapter, helpful Notes and Overviews to facilitate comprehension, as well as Complements and Problems for more in-depth study of specific topics!"
Author: Deng-Yuan Huang
Author: Deng-Yuan Huang
Author: Shanti S. Gupta
Author: S. Panchapakesan
Author: Edward J. Dudewicz
Author: S. S. Gupta
Author: Shanti S. Gupta
Author: 
Author: S. Panchapakesan
Author: Nitis Mukhopadhyay
Author: Institute of Mathematical Statistics