• DocumentCode
    930279
  • Title

    A sufficient condition of nonergodicity of a Markov chain (Corresp.)

  • Author

    Kaplan, M.

  • Volume
    25
  • Issue
    4
  • fYear
    1979
  • fDate
    7/1/1979 12:00:00 AM
  • Firstpage
    470
  • Lastpage
    471
  • Abstract
    A natural and easily verifiable sufficient condition is given for the nonergodicity of a Markov chain. The result provides a converse to a theorem of Pakes and implies as special cases several recently published sufficient conditions for the instability of various forms of slotted ALOHA systems with Markovian retransmissions.
  • Keywords
    Markov processes; Packet switching; Business; Phase estimation; Stability; State-space methods; Statistical distributions; Statistics; Stochastic processes; Sufficient conditions; White noise;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1979.1056059
  • Filename
    1056059