Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (1): 51-55.

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The Moments of First Entrance Time Distributions of Markov Chains in Random Environments 

  

  1. 1. School of Economics and Management, Southeast University2. Department of Mathematics, Anhui Normal University
  • Received:2007-11-08 Online:2011-03-30 Published:2023-05-10
  • About author:LI Shou-wei(1984- ), male, native of Bengbu, Anhui, Ph.D., engages in markov chains in random environments.
  • Supported by:

    Supported by NSF of Anhui Province(KJ2007A102);

Abstract: After defining generating functions, this paper discusses their properties, and then provides a suffcient and necessary condition for a finite property of the moments of first entrance time distributions of Markov chains in random environments by generating functions. Finally, the paper obtains relevant conclusions of the moments of first entrance time distributions.

Key words: random environments, taboo set, generating functions

CLC Number: