• DocumentCode
    3158679
  • Title

    The Moments of a Vector Autoregressive Moving Average Time Series

  • Author

    Vu, Ky M.

  • Author_Institution
    AuLac Technol. Inc., Ottawa
  • fYear
    2007
  • fDate
    9-13 July 2007
  • Firstpage
    1057
  • Lastpage
    1061
  • Abstract
    The formulae for the autocovariances of a Vector Auto Regressive Moving Average (VARMA) time series and the cross-covariances of two VARMA time series with a common white noise are obtained. A method to calculate these moments is suggested and illustrated with some examples. The method can also be used for a scalar ARM A time series where some matrix polynomials reduce to appropriate scalar polynomials.
  • Keywords
    autoregressive moving average processes; polynomial matrices; time series; white noise; ARM; cross-covariances; matrix polynomials; vector autoregressive moving average time series; white noise; Cities and towns; Equations; Polynomials; Random variables; Stochastic processes; White noise;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2007. ACC '07
  • Conference_Location
    New York, NY
  • ISSN
    0743-1619
  • Print_ISBN
    1-4244-0988-8
  • Electronic_ISBN
    0743-1619
  • Type

    conf

  • DOI
    10.1109/ACC.2007.4282151
  • Filename
    4282151