• DocumentCode
    871298
  • Title

    On the Fisher information for the mean of a Gaussian process

  • Author

    Porat, Boaz

  • Author_Institution
    Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
  • Volume
    43
  • Issue
    8
  • fYear
    1995
  • fDate
    8/1/1995 12:00:00 AM
  • Firstpage
    2033
  • Lastpage
    2035
  • Abstract
    An approximate formula for the Fisher information matrix of a Gaussian process has previously been proposed, for the case of a nonzero, parametrically modeled mean. The present author shows that the relative error in the approximation is not guaranteed to converge to zero as the number of measurements tends to infinity. Therefore, the formula cannot be regarded as a valid approximation in general
  • Keywords
    Gaussian processes; autoregressive processes; discrete systems; error analysis; function approximation; information theory; random processes; signal processing; Fisher information matrix; Gaussian process; approximate formula; relative error; Approximation error; Covariance matrix; Discrete Fourier transforms; Gaussian processes; Random processes;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.403374
  • Filename
    403374