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f-Ergodicity and f-Regularity

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

Abstract

In Chapter 13 we considered ergodic chains for which the limit
$$\mathop {\lim }\limits_{k \to \infty } {\text{ }}{E_x}[f({\Phi _\kappa })] = \int {f{\text{ }}d\pi }$$
(14.1)
exists for every initial condition, and every bounded function ƒ on X.

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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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