Multiple Statistical Decision Theory: Recent Developments [electronic resource] /

Multiple Statistical Decision Theory: Recent Developments [electronic resource] /

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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.

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Bibliographic Details
Main Authors: Gupta, Shanti S. author., Huang, Deng-Yuan. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: New York, NY : Springer New York, 1981
Subjects:Statistics., Statistical Theory and Methods.,
Online Access:http://dx.doi.org/10.1007/978-1-4612-5925-1
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id KOHA-OAI-TEST:213615
record_format koha
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Statistics.
Statistics.
Statistical Theory and Methods.
Statistics.
Statistics.
Statistical Theory and Methods.
spellingShingle Statistics.
Statistics.
Statistical Theory and Methods.
Statistics.
Statistics.
Statistical Theory and Methods.
Gupta, Shanti S. author.
Huang, Deng-Yuan. author.
SpringerLink (Online service)
Multiple Statistical Decision Theory: Recent Developments [electronic resource] /
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.
format Texto
topic_facet Statistics.
Statistics.
Statistical Theory and Methods.
author Gupta, Shanti S. author.
Huang, Deng-Yuan. author.
SpringerLink (Online service)
author_facet Gupta, Shanti S. author.
Huang, Deng-Yuan. author.
SpringerLink (Online service)
author_sort Gupta, Shanti S. author.
title Multiple Statistical Decision Theory: Recent Developments [electronic resource] /
title_short Multiple Statistical Decision Theory: Recent Developments [electronic resource] /
title_full Multiple Statistical Decision Theory: Recent Developments [electronic resource] /
title_fullStr Multiple Statistical Decision Theory: Recent Developments [electronic resource] /
title_full_unstemmed Multiple Statistical Decision Theory: Recent Developments [electronic resource] /
title_sort multiple statistical decision theory: recent developments [electronic resource] /
publisher New York, NY : Springer New York,
publishDate 1981
url http://dx.doi.org/10.1007/978-1-4612-5925-1
work_keys_str_mv AT guptashantisauthor multiplestatisticaldecisiontheoryrecentdevelopmentselectronicresource
AT huangdengyuanauthor multiplestatisticaldecisiontheoryrecentdevelopmentselectronicresource
AT springerlinkonlineservice multiplestatisticaldecisiontheoryrecentdevelopmentselectronicresource
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spelling KOHA-OAI-TEST:2136152018-07-30T23:47:50ZMultiple Statistical Decision Theory: Recent Developments [electronic resource] / Gupta, Shanti S. author. Huang, Deng-Yuan. author. SpringerLink (Online service) textNew York, NY : Springer New York,1981.engThe 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.1 Some Auxiliary Results: Monotonicity Properties of Probability Distributions -- 1.1. Introduction -- 1.2. Ordered Families of Distributions -- 1.3. Probability Integrals of Multivariate Normal Distribution — Dependence on Correlations -- 1.4. Dependence and Association of Random Variables -- 1.5. Majorization in Multivariate Distribution -- 2 Multiple Decision Theory: A General Approach -- 3 Modified Minimax Decision Procedures -- 3.1. Introduction -- 3.2. The Problem of Selecting Good Populations with Respect to A Control -- 3.3. On the Problem of Selecting the Best Population -- 3.4. Essentially Complete Classes of Decision Procedures -- 4 Invariant Decision Procedures -- 4.1. Introduction -- 4.2. Selecting the Best Population -- 5 Robust Selection Procedures: Most Economical Multiple Decision Rules -- 5.1. Introduction -- 5.2. Robust Selection Rules -- 6 Multiple Decision Procedures Based on Tests -- 6.1. Introduction -- 6.2. Conditional Confidence Approach -- 6.3. Multiple Comparison Procedures -- 6.4. Multiple Range Tests -- 6.5. Multistage Comparison Procedures.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.Statistics.Statistics.Statistical Theory and Methods.Springer eBookshttp://dx.doi.org/10.1007/978-1-4612-5925-1URN:ISBN:9781461259251

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