• DocumentCode
    1030790
  • Title

    On tests for normality

  • Author

    Steinberg, Y. ; Zeitouni, O.

  • Author_Institution
    Dept. of Electr. Eng., Princeton Univ., NJ, USA
  • Volume
    38
  • Issue
    6
  • fYear
    1992
  • fDate
    11/1/1992 12:00:00 AM
  • Firstpage
    1779
  • Lastpage
    1787
  • Abstract
    The problem of deciding whether a sample of a random field was generated by a Gaussian distribution is considered. Based on extensions of large deviation estimates due to M.D. Donsker and S.R.S. Varadhan (1985), a test that is optimal in a generalized Neyman-Pearson sense is proposed. This test turns out to depend on properties of the entropy of Gaussian processes and does not depend on cumulant computations
  • Keywords
    entropy; information theory; random processes; Gaussian distribution; Gaussian processes; entropy; generalized Neyman-Pearson sense; information theory; normality tests; optimal test; random field; Economic indicators; Entropy; Gaussian distribution; Gaussian processes; Hydrogen; Particle measurements; Spectral analysis; Testing;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.165450
  • Filename
    165450