Markov Renewal Processes: Regeneration Property and the Classification of States.

Abstract

The paper is a sequel to 'Markov renewal processes: Preliminaries.' Stopping times are introduced, the strong Markov property at such times is shown to hold, and certain particular applications are discussed. A classification of states is introduced, recurrence and transience and periodicity are related to the corresponding concepts for Markov chains and renewal processes, and a complete solution is provided for each problem. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1972
Accession Number
AD0744639

Entities

People

  • Erhan Cinlar

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Classification
  • Markov Chains
  • Markov Processes
  • Mathematics
  • Periodic Variations

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.