Statistical Decision Theory and Related Topics

Statistical Decision Theory and Related Topics

1st Edition - January 1, 1971

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  • Editors: Shanti S. Gupta, James Yackel
  • eBook ISBN: 9781483260624

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Statistical Decision Theory and Related Topics is a collection of the papers presented at the Symposium on Statistical Decision Theory and Related Topics which was held on November 23-25, 1970 at Purdue University. The conference brought together research workers in decision theory and related topics. This volume contains twenty papers presented during the symposium and includes works on molecular studies of evolution, globally optimal procedure for one-sided comparisons, multiple decision theory, outlier detection, empirical Bayes slippage tests, and non-optimality of likelihood ratio tests for sequential detection of signals in Gaussian noise. Mathematicians and statisticians will find the book highly insightful.

Table of Contents

  • Contributors to the Symposium


    Molecular Studies of Evolution: A Source of Novel Statistical Problems (62C99, 62F05)

    Asymptotically Efficient Estimation of Nonparametric Regression Coefficients (62G05, 62J05)

    Optimal Allocation of Observations When Comparing Several Treatments with a Control (III): Globally Best One-Sided Intervals for Unequal Variances (62K05, 62F99)

    On Some Contributions to Multiple Decision Theory (62F07, 62A10)

    A Decision-Theoretic Approach to the Problem of Testing a Null Hypothesis (62C05, 62F05, 62F15)

    The Role of Symmetry and Approximation in Exact Design Optimality (62K05)

    Symmetric Binomial Group-Testing with Three Outcomes (62L05, 62C25,62N10)

    Detection of Outliers (62F99, 62C99)

    Empirical Bayes Slippage Tests (62C25)

    Analogues of Linear Combinations of Order Statistics in the Linear Model (62J05, 62G30)

    A Theorem on Exponentially Bounded Stopping Time of Invariant SPRT's with Applications (62L15)

    Some Aspects of Search Strategies for Wiener Processes (62L05,62M99)

    Optimal Pari-Mutuel Wagering (62C10)

    Nonparametric Procedures for Selecting Fixed-Size Subsets (62G99, 62F07)

    On a Subset Selection Procedure for the Most Probable Event in a Multinomial Distribution (62F07)

    On Approximating Constants Required to Implement a Selection Procedure Based on Ranks (62G99, 62F07)

    Selection Procedures with Respect to Measures of Association (62F07, 62G99)

    Sample Size for Selection (62F07)

    Optimal Confidence Intervals for the Largest Location Parameter (62F07, 62F25)

    Non-Optimality of Likelihood Ratio Tests for Sequential Detection of Signals in Gaussian Noise (60G35, 62C99)

Product details

  • No. of pages: 396
  • Language: English
  • Copyright: © Academic Press 1971
  • Published: January 1, 1971
  • Imprint: Academic Press
  • eBook ISBN: 9781483260624

About the Editors

Shanti S. Gupta

James Yackel

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