Numerical Methods for Bayes Sequential Decision Problems

Abstract

The general approach to sequential decision-theoretic problems where sums of successive observations are approximated by a continuous time Wiener process has a number of fundamental advantages. Simple numerical techniques which can be employed to obtain explicit descriptions of the solutions of the resulting continuous time optimal stopping problems are described. The techniques are not well adapted for very precise results, but are surprisingly effective for reasonably accurate approximations. Special features of particular problems can be exploited to reduce the necessary computational effort. The techniques are illustrated in a number of problems thereby clearly indicating their properties.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1984
Accession Number
ADA140418

Entities

People

  • A. J. Petkau
  • H. Chernoff

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Biomedical
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Asymptotic Series
  • Boundaries
  • British Columbia
  • Computations
  • Computer Programming
  • Data Science
  • Decision Theory
  • Dynamic Programming
  • Normal Distribution
  • Probability
  • Random Variables
  • Random Walk
  • Sequential Analysis
  • Statistics
  • United States

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Statistical inference.