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Multiple Decision Procedures
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Book Synopsis Multiple Decision Procedures by : Shanti S. Gupta
Download or read book Multiple Decision Procedures written by Shanti S. Gupta and published by SIAM. This book was released on 2002-01-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Multiple Decision Procedures for Ranking Means of Normal Populations by : R. E. Bechhoefer
Download or read book Multiple Decision Procedures for Ranking Means of Normal Populations written by R. E. Bechhoefer and published by . This book was released on 1955 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiple Decision Procedures for Means of Normal Populations by : Kenneth Martin Ferrin
Download or read book Multiple Decision Procedures for Means of Normal Populations written by Kenneth Martin Ferrin and published by . This book was released on 1960 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiple Decision Procedures for Ranking Means by : R. E. Bechhoefer
Download or read book Multiple Decision Procedures for Ranking Means written by R. E. Bechhoefer and published by . This book was released on 1955 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiple Decision Procedures for ANOVA of Two-level Factorial Fixed-effects Replication-free Experiments by : Arthur G. Holms
Download or read book Multiple Decision Procedures for ANOVA of Two-level Factorial Fixed-effects Replication-free Experiments written by Arthur G. Holms and published by . This book was released on 1967 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Class of Sequential Multiple Decision Procedures by : Austin M. Barron
Download or read book A Class of Sequential Multiple Decision Procedures written by Austin M. Barron and published by . This book was released on 1968 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consider k populations Pi sub 1, Pi sub 2, ..., Pi sub k where each Pi sub i has an observable random variable which depends on some parameter theta sub i. The problem then is to define sequential multiple decision procedures, which select a subset Pi sub 1, Pi sub 2, ..., Pi sub k such that the population with the largest (or smallest) mean is included with a prescribed probability P*. Two types of procedures are considered. The first is a non-eliminating type which takes observations from each population at each stage until a decision (to select or reject) has been made about all the populations. The second, an eliminating type, stops sampling from a population when a decision has been reached about that population. The first two chapters deal with normal populations when the parameters in question are the means. The last chapter offers some generalizations of the procedure and some related problems. (Author).
Book Synopsis A Sequential Multiple Decision Procedure for Selecting the Best One of Several Normal Populations with a Common Unknown Variance, and Its Use with Various Experimental Designs by : R. E. Bechhoefer
Download or read book A Sequential Multiple Decision Procedure for Selecting the Best One of Several Normal Populations with a Common Unknown Variance, and Its Use with Various Experimental Designs written by R. E. Bechhoefer and published by . This book was released on 1956 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiple Decision Procedures from an Empirical Bayes Approach by : John J. Deely
Download or read book Multiple Decision Procedures from an Empirical Bayes Approach written by John J. Deely and published by . This book was released on 1965 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Decision Procedures by : Daniel Kroening
Download or read book Decision Procedures written by Daniel Kroening and published by Springer. This book was released on 2016-11-22 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: A decision procedure is an algorithm that, given a decision problem, terminates with a correct yes/no answer. Here, the authors focus on theories that are expressive enough to model real problems, but are still decidable. Specifically, the book concentrates on decision procedures for first-order theories that are commonly used in automated verification and reasoning, theorem-proving, compiler optimization and operations research. The techniques described in the book draw from fields such as graph theory and logic, and are routinely used in industry. The authors introduce the basic terminology of satisfiability modulo theories and then, in separate chapters, study decision procedures for each of the following theories: propositional logic; equalities and uninterpreted functions; linear arithmetic; bit vectors; arrays; pointer logic; and quantified formulas.
Book Synopsis Multiple Decision Procedures for Ranking Means of Normal Populations by : R. E. Bechhoefer
Download or read book Multiple Decision Procedures for Ranking Means of Normal Populations written by R. E. Bechhoefer and published by . This book was released on 1955 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Single-sample Multiple-decision Procedure for Selecting the Multinomial Event which Has the Highest Probability by : Robert Eric Bechhofer
Download or read book A Single-sample Multiple-decision Procedure for Selecting the Multinomial Event which Has the Highest Probability written by Robert Eric Bechhofer and published by . This book was released on 1957 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of selecting the multinomial event which has the highest probability is formulated as a multiple-decision selection problem. Before experimentation starts the experimenter must specify two constants ([theta]*, P*) which are incorporated into the requirement: "The probability of a correct selection is to be equal to or greater than P* whenever the true (but unknown) ratio of the largest to the second largest of the poplation probabilities is equal to or greater than [theta]*." A single-sample procedure which meets the requirement is proposed. The heart of the procedure is the proper choice of N, the number of trials. Two methods of determining N are described: the first is exact and is to be used when N is small; the second is approximate and is to be used when N is large. Tables and sample calculations are provided.
Book Synopsis A Sequential Multiple-decision Procedure for Selecting the Best One of Several Normal Populations with a Common Unknown Variance. Ii. Monte Carlo Sampling Results and New Computing Formulae by : Robert Eric Bechhofer
Download or read book A Sequential Multiple-decision Procedure for Selecting the Best One of Several Normal Populations with a Common Unknown Variance. Ii. Monte Carlo Sampling Results and New Computing Formulae written by Robert Eric Bechhofer and published by . This book was released on 1961 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Statement of the statistical problem S atistical assumptions The experimenter's goal, specification, and requirement Procedure D and the new computing formulae Description of Procedure D Definition of symbols The sampling, stopping, and terminal de cision rules Computation of the stopping statistic Use of Procedure D (method B) with various experimental designs Simplified computing formulae Numerical example Monte Carlo sampling results with Procedure D Description of the sampling procedure Sampling results Discussion of sampling results.
Book Synopsis Multiple Objective Decision Making — Methods and Applications by : C.-L. Hwang
Download or read book Multiple Objective Decision Making — Methods and Applications written by C.-L. Hwang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decision making is the process of selecting a possible course of action from all the available alternatives. In almost all such problems the multiplicity of criteria for judging the alternatives is pervasive. That is, for many such problems, the decision maker (OM) wants to attain more than one objective or goal in selecting the course of action while satisfying the constraints dictated by environment, processes, and resources. Another characteristic of these problems is that the objectives are apparently non commensurable. Mathematically, these problems can be represented as: (1. 1 ) subject to: gi(~) ~ 0, ,', . . . ,. ! where ~ is an n dimensional decision variable vector. The problem consists of n decision variables, m constraints and k objectives. Any or all of the functions may be nonlinear. In literature this problem is often referred to as a vector maximum problem (VMP). Traditionally there are two approaches for solving the VMP. One of them is to optimize one of the objectives while appending the other objectives to a constraint set so that the optimal solution would satisfy these objectives at least up to a predetermined level. The problem is given as: Max f. ~) 1 (1. 2) subject to: where at is any acceptable predetermined level for objective t. The other approach is to optimize a super-objective function created by multiplying each 2 objective function with a suitable weight and then by adding them together.
Book Synopsis A Class on Non-Eliminating Sequential Multiple Decision Procedures by : Auatin Barron
Download or read book A Class on Non-Eliminating Sequential Multiple Decision Procedures written by Auatin Barron and published by . This book was released on 1970 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper is concerned with the multiple decision (selection and ranking) problem for k independent normal populations having unknown means and a known common variance. A class of sequential and multi-stage procedures is defined and investigated. This class consists of rules of a noneliminating type; a rule belonging to this class selects and rejects populations at various stages but continues taking samples from all populations until the procedure terminates. (Author).
Book Synopsis Multiple Decision Procedures for Ranking Means by : R. E. Bechhoefer
Download or read book Multiple Decision Procedures for Ranking Means written by R. E. Bechhoefer and published by . This book was released on 1955 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiple Statistical Decision Theory: Recent Developments by : S. S. Gupta
Download or read book Multiple Statistical Decision Theory: Recent Developments written by S. S. Gupta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis An Essentially Complete Class of Multiple Decision Procedures by : Shanti S. Gupta
Download or read book An Essentially Complete Class of Multiple Decision Procedures written by Shanti S. Gupta and published by . This book was released on 1978 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let pi sub 1, ..., pi sub k represent k (> or = 2) independent populations. The quality of the ith population pi sub i is characterized by a real-valued parameter theta sub i, usually unknown. Define the best population in terms of a measure of separation between theta sub i's. A selection of a subset containing the best population is called a correct selection (CS). Restrict attention to rules for which the size of the selected subset is controlled at a given point and the infimum of the probability of correct selection over the parameter space is maximized. The main theorem deals with construction of an essentially complete class of selection rules of the above type. Some classical subset selection rules are shown to belong to this class.
