On Taking Sequential Decisions in a Changing Environment.

Abstract

An attempt is made to extend Wald's sequential decision theory to the case where the state of the system being observed can change during the observation-decision process. Most of the results obtained concern systems that can have only two possible states and are based on a partial differential equation which describes approximately the evolution in time of the probability ratio (or likelihood ratio). In particular, the following elements can be deduced from that partial differential equation for a sequential decision procedure with constant thresholds: mean number of observations before a terminal decision is taken, probabilities of errors, and expected loss. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 15, 1972
Accession Number
AD0751971

Entities

People

  • Christian Fabry

Organizations

  • SACLANT ASW Research Centre

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Climate Change
  • Decision Theory
  • Differential Equations
  • Environment
  • Equations
  • Mathematics
  • Observation
  • Partial Differential Equations
  • Personal Information Managers
  • Probability
  • Terminals

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Statistical inference.
  • Team-Based Human-Centered Cognitive Task Decision Making and Information Performance.