• DocumentCode
    1478932
  • Title

    Disjointness of random sequence sets with respect to distinct probability measures

  • Author

    Han, Te Sun ; Hamada, Mitsuru

  • Author_Institution
    Graduate Sch. of Inf. Syst., Univ. of Electro-Commun., Chofu, Japan
  • Volume
    45
  • Issue
    2
  • fYear
    1999
  • fDate
    3/1/1999 12:00:00 AM
  • Firstpage
    756
  • Lastpage
    760
  • Abstract
    It is shown that the set of deterministic random sequences (of symbols from a finite alphabet) with respect to a computable probability measure μ, in Martin-Lof´s (1966) sense, and the set of deterministic random sequences with respect to another computable probability measure ν are disjoint if μ and ν are different and the measures are either i.i.d. or homogeneous finite-order irreducible Markov measures
  • Keywords
    Markov processes; probability; random processes; sequences; deterministic random sequences; disjoint measures; distinct probability measures; finite alphabet; homogeneous finite-order irreducible Markov measure; i.i.d. measure; random sequence sets; Frequency; H infinity control; Information systems; Information theory; Probability distribution; Random sequences; Stochastic processes; Sun; Tellurium; Testing;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.749026
  • Filename
    749026