• DocumentCode
    1158128
  • Title

    Testing proportionality for autoregressive processes

  • Author

    Drouiche, Karim

  • Author_Institution
    CNRS, Univ. de Cergy Pontoise, Neuville Sur Oise, France
  • Volume
    49
  • Issue
    3
  • fYear
    2003
  • fDate
    3/1/2003 12:00:00 AM
  • Firstpage
    672
  • Lastpage
    681
  • Abstract
    We introduce a new hypothesis test to determine wether or not two autoregressive spectral densities are proportional. A test for autoregressive coefficient ity or randomness is deduced. We also derive the exact asymptotic behavior for these tests under parametric alternatives and show that, given a significance level, our tests are the most powerful (MP) tests among all tests.
  • Keywords
    autoregressive processes; random processes; spectral analysis; AR processes; autoregressive coefficient; autoregressive processes; autoregressive spectral density; exact asymptotic behavior; proportionality testing; randomness; significance level; Autoregressive processes; Biology; Gaussian processes; Helium; Parameter estimation; Reliability engineering; Reliability theory; Robustness; Testing; Time series analysis;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2002.808122
  • Filename
    1184143