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Multiple Statistical Decision Theory: Recent Developments

Recent Developments

  • Book
  • © 1981

Overview

Authors:
  1. Shanti S. Gupta

    1. Department of Statistics, Purdue University, West Lafayette, USA

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  2. Deng-Yuan Huang

    1. Institute of Mathematics, Academia Sinica, Taipei, Taiwan, Republic of China

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Statistics (LNS, volume 6)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-vii
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  2. Some Auxiliary Results — Monotonicity Properties of Probability Distributions

    • Shanti S. Gupta, Deng-Yuan Huang
    Pages 1-28

  3. Multiple Decision Theory: A General Approach

    • Shanti S. Gupta, Deng-Yuan Huang
    Pages 29-37

  4. Modified Minimax Decision Procedures

    • Shanti S. Gupta, Deng-Yuan Huang
    Pages 38-60

  5. Invariant Decision Procedures

    • Shanti S. Gupta, Deng-Yuan Huang
    Pages 61-72

  6. Robust Selection Procedures: Most Economical Multiple Decision Rules

    • Shanti S. Gupta, Deng-Yuan Huang
    Pages 73-79

  7. Multiple Decision Procedures Based on Tests

    • Shanti S. Gupta, Deng-Yuan Huang
    Pages 80-102

  8. Back Matter

    Pages 103-111
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Statistics, Purdue University, West Lafayette, USA

    Shanti S. Gupta

  • Institute of Mathematics, Academia Sinica, Taipei, Taiwan, Republic of China

    Deng-Yuan Huang

Bibliographic Information

  • Book Title: Multiple Statistical Decision Theory: Recent Developments

  • Book Subtitle: Recent Developments

  • Authors: Shanti S. Gupta, Deng-Yuan Huang

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-5925-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1981

  • Softcover ISBN: 978-0-387-90572-3Published: 21 May 1981

  • eBook ISBN: 978-1-4612-5925-1Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: 104

  • Topics: Statistical Theory and Methods

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