• Title of article

    Strong approximation of partial sums under dependence conditions with application to dynamical systems

  • Author/Authors

    Merlevède، نويسنده , , Florence and Rio، نويسنده , , Emmanuel، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2012
  • Pages
    32
  • From page
    386
  • To page
    417
  • Abstract
    In this paper, we obtain precise rates of convergence in the strong invariance principle for stationary sequences of real-valued random variables satisfying weak dependence conditions including strong mixing in the sense of Rosenblatt (1956) [30] as a special case. Applications to unbounded functions of intermittent maps are given.
  • Keywords
    Almost sure invariance principle , Strong approximations , weak dependence , Intermittent maps , dynamical systems , Markov chains , strong mixing
  • Journal title
    Stochastic Processes and their Applications
  • Serial Year
    2012
  • Journal title
    Stochastic Processes and their Applications
  • Record number

    1578495