Multiple Decision Procedures
Multiple Decision Procedures

Author: Shanti S. Gupta

Publisher: SIAM

Published: 2002-01-01

Total Pages: 592

ISBN-13: 0898715326

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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.

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
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

Author: Robert Eric Bechhofer

Publisher:

Published: 1961

Total Pages: 62

ISBN-13:

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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.

A Single-sample Multiple-decision Procedure for Selecting the Multinomial Event which Has the Highest Probability
A Single-sample Multiple-decision Procedure for Selecting the Multinomial Event which Has the Highest Probability

Author: Robert Eric Bechhofer

Publisher:

Published: 1957

Total Pages: 58

ISBN-13:

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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.

An Author and Permuted Title Index to Selected Statistical Journals
An Author and Permuted Title Index to Selected Statistical Journals

Author: Brian L. Joiner

Publisher:

Published: 1970

Total Pages: 512

ISBN-13:

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All articles, notes, queries, corrigenda, and obituaries appearing in the following journals during the indicated years are indexed: Annals of mathematical statistics, 1961-1969; Biometrics, 1965-1969#3; Biometrics, 1951-1969; Journal of the American Statistical Association, 1956-1969; Journal of the Royal Statistical Society, Series B, 1954-1969,#2; South African statistical journal, 1967-1969,#2; Technometrics, 1959-1969.--p.iv.

Multiple Statistical Decision Theory: Recent Developments
Multiple Statistical Decision Theory: Recent Developments

Author: S. S. Gupta

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 113

ISBN-13: 1461259258

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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.

Design of Experiments
Design of Experiments

Author: Santner

Publisher: CRC Press

Published: 1984-07-30

Total Pages: 336

ISBN-13: 9780824772741

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Multiple comparisons; Selection and ranking; Estimation and testing.

Probability and Bayesian Statistics
Probability and Bayesian Statistics

Author: R. Viertl

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 505

ISBN-13: 1461318858

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This book contains selected and refereed contributions to the "Inter national Symposium on Probability and Bayesian Statistics" which was orga nized to celebrate the 80th birthday of Professor Bruno de Finetti at his birthplace Innsbruck in Austria. Since Professor de Finetti died in 1985 the symposium was dedicated to the memory of Bruno de Finetti and took place at Igls near Innsbruck from 23 to 26 September 1986. Some of the pa pers are published especially by the relationship to Bruno de Finetti's scientific work. The evolution of stochastics shows growing importance of probability as coherent assessment of numerical values as degrees of believe in certain events. This is the basis for Bayesian inference in the sense of modern statistics. The contributions in this volume cover a broad spectrum ranging from foundations of probability across psychological aspects of formulating sub jective probability statements, abstract measure theoretical considerations, contributions to theoretical statistics and stochastic processes, to real applications in economics, reliability and hydrology. Also the question is raised if it is necessary to develop new techniques to model and analyze fuzzy observations in samples. The articles are arranged in alphabetical order according to the family name of the first author of each paper to avoid a hierarchical ordering of importance of the different topics. Readers interested in special topics can use the index at the end of the book as guide.