• Title of article

    On linear processes with dependent innovations

  • Author/Authors

    Biao Wu، نويسنده , , Wei-Ping Min، نويسنده , , Wanli، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2005
  • Pages
    20
  • From page
    939
  • To page
    958
  • Abstract
    We consider asymptotic behavior of partial sums and sample covariances for linear processes whose innovations are dependent. Central limit theorems and invariance principles are established under fairly mild conditions. Our results go beyond earlier ones by allowing a quite wide class of innovations which includes many important nonlinear time series models. Applications to linear processes with GARCH innovations and other nonlinear time series models are discussed.
  • Keywords
    Central Limit Theorem , Covariance , Invariance principle , Nonlinear time series , Linear process , GARCH model
  • Journal title
    Stochastic Processes and their Applications
  • Serial Year
    2005
  • Journal title
    Stochastic Processes and their Applications
  • Record number

    1577630