Explicit representation of finite predictor coefficients and its applications

DOI IR (HANDLE) Open Access

Description

We consider the finite-past predictor coefficients of stationary time series, and establish an explicit representation for them, in terms of the MA and AR coefficients. The proof involves the alternate iteration of projection operators associated with the infinite past and the infinite future. We provide several applications, which include rates of convergence of the finite predictor coefficients, an equality of Baxter-type for long memory processes, and a simple representation of the partial autocorrelation function α(·). We use the last result to obtain the precise asymptotic behavior of α(·) with remainder, for the fractional ARIMA processes.

Journal

Keywords

Details 詳細情報について

  • CRID
    1390290699771997440
  • NII Article ID
    120006459359
  • DOI
    10.14943/83799
  • HANDLE
    2115/69453
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • JaLC
    • IRDB
    • CiNii Articles
  • Abstract License Flag
    Allowed

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