On the Wiener Process Approximation to Bayesian Sequential Testing Problems

Abstract

In 1959 Chernoff [7] initiated the study of the asymptotic theory of sequential Bayes tests as the cost of observation tends to zero. He dealt with the case of a finite parameter space. The definitive generalization of the line of attack initiated in that paper was given by Kiefer and Sacks in [13]. Their work as well as that of Chernoff, the intervening papers of Albert [1], Bessler [3], and Schwarz [19], and the subsequent work of the authors [4] used implicitly or explicitly the theory of large deviations and applied only to situations where hypothesis and alternative were separated or at least an indifference region was present.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD1022116

Entities

People

  • J. A. Yahav
  • P. J. Bickel

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Biomedical
  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundaries
  • Coefficients
  • Construction
  • Convergence
  • Equations
  • Health
  • Military Research
  • Normal Distribution
  • Observation
  • Plastic Explosives
  • Probability
  • Public Health
  • Random Variables
  • Sequences
  • Stochastic Processes
  • Terminals

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Statistical inference.
  • Systems Analysis and Design

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms
  • Space