• DocumentCode
    884583
  • Title

    Large deviation theorems for empirical types of Markov chains constrained to thin sets

  • Author

    Algoet, Paul H. ; Marcus, Brian H.

  • Author_Institution
    IBM Almaden Res. Center, San Jose, CA, USA
  • Volume
    38
  • Issue
    4
  • fYear
    1992
  • fDate
    7/1/1992 12:00:00 AM
  • Firstpage
    1276
  • Lastpage
    1291
  • Abstract
    An irreducible Markov chain with stationary transition probabilities on a finite directed graph is considered. The probability of large deviations of the random variable denoting the empirical type of the first n transitions is investigated
  • Keywords
    Markov processes; directed graphs; information theory; probability; Markov chains; empirical types; finite directed graph; irreducible chain; large deviation theorems; probability; random variable; stationary transition probabilities; Combinatorial mathematics; Constraint theory; Graph theory; Helium; Human computer interaction; Information theory; Markov processes; Probability distribution; Random variables; Space stations;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.144708
  • Filename
    144708