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Optimal Sequentially Planned Decision Procedures

  • Norbert Schmitz

Part of the Lecture Notes in Statistics book series (LNS, volume 79)

Table of contents

  1. Front Matter
    Pages N1-x
  2. Norbert Schmitz
    Pages 1-28
  3. Norbert Schmitz
    Pages 29-57
  4. Back Matter
    Pages 164-213

About this book

Introduction

Learning from experience, making decisions on the basis of the available information, and proceeding step by step to a desired goal are fundamental behavioural qualities of human beings. Nevertheless, it was not until the early 1940's that such a statistical theory - namely Sequential Analysis - was created, which allows us to investigate this kind of behaviour in a precise manner. A. Wald's famous sequential probability ratio test (SPRT; see example (1.8» turned out to have an enormous influence on the development of this theory. On the one hand, Wald's fundamental monograph "Sequential Analysis" ([Wa]*) is essentially centered around this test. On the other hand, important properties of the SPRT - e.g. Bayes­ optimality, minimax-properties, "uniform" optimality with respect to expected sample sizes - gave rise to the development of a general statistical decision theory. As a conse­ quence, the SPRT's played a dominating role in the further development of sequential analysis and, more generally, in theoretical statistics.

Keywords

Hypothese Power Sequential Probability Ratio Test probability

Editors and affiliations

  • Norbert Schmitz
    • 1
  1. 1.Institut für Mathematische StatistikWestfälische Wilhelms-Universität MünsterMünster/W.Germany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-2736-6
  • Copyright Information Springer-Verlag New York 1993
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-97908-3
  • Online ISBN 978-1-4612-2736-6
  • Series Print ISSN 0930-0325
  • Buy this book on publisher's site
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