Generalized Classification Criteria

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


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.


Busy Period Invariant Probability Measure Countable Space Drift Condition Positive Recurrence 
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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

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