• DocumentCode
    659188
  • Title

    Informational confidence bounds for self-normalized averages and applications

  • Author

    Garivier, Aurelien

  • Author_Institution
    Inst. de Math. de Toulouse, Univ. Paul Sabatier, Toulouse, France
  • fYear
    2013
  • fDate
    9-13 Sept. 2013
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    We present deviation bounds for self-normalized averages and applications to estimation with a random number of observations. The results rely on a peeling argument in exponential martingale techniques that represents an alternative to the method of mixture. The motivating examples of bandit problems and context tree estimation are detailed.
  • Keywords
    estimation theory; random processes; stochastic processes; bandit problem; context tree estimation; exponential martingale technique; informational confidence deviation bound; peeling argument; random number estimation; self-normalized average; Context; Data models; Equations; Estimation; Markov processes; Mathematical model;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Workshop (ITW), 2013 IEEE
  • Conference_Location
    Sevilla
  • Print_ISBN
    978-1-4799-1321-3
  • Type

    conf

  • DOI
    10.1109/ITW.2013.6691311
  • Filename
    6691311