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1 results

  • On the theory of Markov set-chains

  • Part of
  • D. J. Hartfiel, E. Seneta
  • Journal:
    Advances in Applied Probability / Volume 26 / Issue 4 / December 1994
    Published online by Cambridge University Press:
    01 July 2016, pp. 947-964
    Print publication:
    December 1994

  • In the theory of homogeneous Markov chains, states are classified according to their connectivity to other states and this classification leads to a classification of the Markov chains themselves. In this paper we classify Markov set-chains analogously, particularly into ergodic, regular, and absorbing Markov set-chains. A weak law of large numbers is developed for regular Markov set-chains. Examples are used to illustrate analysis of behavior of Markov set-chains.