Aggregation of Conditional Absorbing Markov Chains.

Abstract

When modeling a process by means of a finite Markov chain, it is sometimes necessary or desirable to stratify the process into subprocesses and model each of these individual subprocesses. For example, in a study of a distributed data base system (1) the flow of data was modeled as a Markov chain for several separate geographic locations. In a recruiting study (2) the movement of military-age men through the recruiting process and into the armed forces was modeled for separate racial and educational groups as a Markov chain with a single state space for each group--only the input data (transition probabilities) to the model were changed for each group. In (3) a Markov chain model was used to investigate the consequences of induced abortion for different groups of women by estimating transition probabilities separately for each group.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1982
Accession Number
ADA116603

Entities

People

  • C. Bernard Barfoot

Organizations

  • Center for Naval Analyses

Tags

Communities of Interest

  • Ground and Sea Platforms
  • Human Systems
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Administrative Personnel
  • Applied Mathematics
  • Business Administration
  • Databases
  • Diffusion Theory
  • Equations
  • Geographic Regions
  • Information Science
  • Management Personnel
  • Markov Chains
  • Operations Research
  • Political Science
  • Probability
  • Recruiting
  • Stars
  • Statistics
  • United States

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Mathematical Modeling and Probability Theory.
  • Women's Health and Cancer Risk Research: African American Women and Pregnancy Outcomes.

Technology Areas

  • Space