Asymptotically Pointwise Optimal Procedures in Sequential Analysis

Abstract

After sequential analysis was developed by Wald in the forties [5], Arrow, Blackwell, and Girshick [1] considered the Bayes problem and proved the existence of Bayes solutions. The difficulties involved in computing explicitly the Bayes solutions led Wald [6] to introduce asymptotic sequential analysis in estimation. Asymptotic in his sense, as for all subsequent authors, refers to the limiting behavior of the optimal solution as the cost of observation tends to zero. Chernoff [2] investigated the asymptotic properties of sequential testing. The testing theory was developed further by Schwarz [4] and generalized by Kiefer and Sacks [3]. This paper approaches the asymptotic theory from a slightly different point of view.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1967
Accession Number
AD1025623

Entities

People

  • Joseph A. Yahav
  • Peter J. Bickel

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Biomedical
  • Human Systems

DTIC Thesaurus Topics

  • Air Force
  • Business Administration
  • California
  • Convergence
  • Data Science
  • Information Science
  • Military Research
  • Nonparametric Statistics
  • Normal Distribution
  • Observation
  • Probability
  • Random Variables
  • Scientific Research
  • Sequences
  • Sequential Analysis
  • Statistics
  • Universities

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.