Approximate Solutions for Certain Optimal Stopping Problems

Abstract

Simple methods of determining numerical approximations to the optimal continuation regions of certain optimal stopping problems for a zero drift standard Wiener process are described. The methods involve the use of the solutions of analogous discrete problems together with a correction for continuity. A problem due to Van Moerbeke, the exact solution of which is known, and the one-armed bandit problem are considered as illustrations of the methods.

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Document Details

Document Type
Technical Report
Publication Date
Jan 05, 1978
Accession Number
ADA049995

Entities

People

  • Albert J. Petkau

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Asymptotic Series
  • Classification
  • Computations
  • Continuity
  • Contracts
  • Massachusetts
  • Mathematics
  • Military Research
  • Probability
  • Random Variables
  • Random Walk
  • Sequences
  • Standards
  • Statistics
  • United States

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis