• Title of article

    A CLT for the periodograms of a ϱ∗-mixing random field

  • Author/Authors

    Miller، نويسنده , , Curtis، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1995
  • Pages
    18
  • From page
    313
  • To page
    330
  • Abstract
    If X is a centered, ϱ∗-mixing random field with certain weak stationarity conditions and finite fourth moments, then the fourth moments of block sums Sn grow as the square of block size n. Further, n−2d∥Sn∥44 converges to a limit which can be expressed in terms of the spectral density. This result is used to derive a CLT for periodograms of the spectral density of strictly stationary X.
  • Keywords
    ??-mixing , Spectral density , Periodogram , Weak stationarity
  • Journal title
    Stochastic Processes and their Applications
  • Serial Year
    1995
  • Journal title
    Stochastic Processes and their Applications
  • Record number

    1575816