Comments on a Problem of Chernoff and Petkau.

Abstract

A new method is used to study the optimal stopping set corrected for discreteness introduced by Chernoff and studied by Chernoff and Petkau. The discrete boundary is asymptotically the optimal boundary for a Wiener process translated downward by a constant amount. This amount is shown to be an excess over the boundary term, and this method yields it as a simple integral involving the characteristic function of the random walk. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1984
Accession Number
ADA140911

Entities

People

  • M. L. Hogan

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Arithmetic
  • Boundaries
  • California
  • Continuity
  • Equations
  • Governments
  • Military Research
  • Notation
  • Probability
  • Random Variables
  • Random Walk
  • Statistics
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

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