• Title of article

    Some liminf results for two-parameter processes

  • Author/Authors

    J.Michael and Csلki، نويسنده , , Endre and Shi، نويسنده , , Zhan، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1998
  • Pages
    20
  • From page
    27
  • To page
    46
  • Abstract
    We obtain some liminf limits for the Wiener sheet. The approach relies on a careful analysis of the lower tail of the Ornstein–Uhlenbeck process. Our results can be applied to normalized Kiefer and empirical processes. In particular, they yield a satisfying answer to Hirsch’s problem for the uniform empirical distribution function.
  • Keywords
    Wiener sheet , Ornstein–Uhlenbeck process , Kiefer process , Empirical process
  • Journal title
    Stochastic Processes and their Applications
  • Serial Year
    1998
  • Journal title
    Stochastic Processes and their Applications
  • Record number

    1576325