Advertisement

Generalized Classification Criteria

  • Sean P. Meyn
  • Richard L. Tweedie
Chapter
  • 600 Downloads
Part of the Communications and Control Engineering Series book series (CCE)

Abstract

We have now developed a number of simple criteria, solely involving the one step transition function, which enable us to classify quite general Markov chains. We have seen, for example, that the equivalences in Theorem 11.0.1, Theorem 13.0.1, or Theorem 15.0.1 give an effective approach to the analysis of many systems.

Keywords

Busy Period Invariant Probability Measure Countable Space Drift Condition Positive Recurrence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag London Limited 1993

Authors and Affiliations

  • Sean P. Meyn
    • 1
  • Richard L. Tweedie
    • 2
  1. 1.Coordinated Science Laboratory and the Department of Electrical and Computer EngineeringUniversity of IllinoisUrbanaUSA
  2. 2.Department of StatisticsColorado State UniversityFort CollinsUSA

Personalised recommendations