• DocumentCode
    3263022
  • Title

    A Strong Law of Large Numbers for Markov Chain Fields on a Special Non-homogeneous Tree

  • Author

    Shaohua, Jin ; Yanyan, Zhong ; Yanping, Wan ; Xiuyin, Chen

  • Author_Institution
    Dept. of Math., Hebei Univ. of Technol., Tianjin, China
  • Volume
    2
  • fYear
    2009
  • fDate
    6-7 June 2009
  • Firstpage
    337
  • Lastpage
    340
  • Abstract
    The strong laws of large numbers is one of the central questions for studying in the international Probability theory. In this paper, a strong law of large numbers for Markov chain fields on a special non-homogeneous tree is given by constructing a non-negative martingale and using Doobpsilas martingale convergence theorem.
  • Keywords
    Markov processes; probability; trees (mathematics); Doobpsilas martingale convergence theorem; Markov chain fields; international probability theory; nonnegative martingale; special nonhomogeneous tree; Computational intelligence; Convergence; Entropy; Extraterrestrial measurements; Markov random fields; Mathematics; Random variables; markov chains; measurable space; non-negative martingale; strong law of large numbers; tree model;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Intelligence and Natural Computing, 2009. CINC '09. International Conference on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-0-7695-3645-3
  • Type

    conf

  • DOI
    10.1109/CINC.2009.103
  • Filename
    5230949