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Multiple Statistical Decision Theory: Recent Developments

  • Shanti S. Gupta
  • Deng-Yuan Huang

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

Table of contents

  1. Front Matter
    Pages i-vii
  2. Shanti S. Gupta, Deng-Yuan Huang
    Pages 29-37
  3. Shanti S. Gupta, Deng-Yuan Huang
    Pages 38-60
  4. Shanti S. Gupta, Deng-Yuan Huang
    Pages 61-72
  5. Shanti S. Gupta, Deng-Yuan Huang
    Pages 73-79
  6. Shanti S. Gupta, Deng-Yuan Huang
    Pages 80-102
  7. Back Matter
    Pages 103-111

About this book

Introduction

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.

Keywords

Entscheidung (Math.) Multiples Testen Normal distribution Probability distribution Random variable correlation

Authors and affiliations

  • Shanti S. Gupta
    • 1
  • Deng-Yuan Huang
    • 2
  1. 1.Department of StatisticsPurdue UniversityWest LafayetteUSA
  2. 2.Institute of MathematicsAcademia SinicaTaipeiTaiwan, Republic of China

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-5925-1
  • Copyright Information Springer-Verlag New York 1981
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-90572-3
  • Online ISBN 978-1-4612-5925-1
  • Series Print ISSN 0930-0325
  • Buy this book on publisher's site