• DocumentCode
    1358095
  • Title

    Inverse invariant distributions

  • Author

    Hubing, Nancy E. ; Alexander, S.T.

  • Author_Institution
    Dept. of Electr. Eng., Missouri Univ., Rolla, MO, USA
  • Volume
    38
  • Issue
    6
  • fYear
    1990
  • fDate
    6/1/1990 12:00:00 AM
  • Firstpage
    1059
  • Lastpage
    1061
  • Abstract
    The probability density function associated with a random variable Z is inverse-invariant if it is identical to the density function associated with the inverse of Z. An intuitive method of finding inverse-invariant density functions is presented, with examples and notes on where these distributions arise. Specific parameter estimation algorithms which produce estimates having inverse-invariant distributions are discussed
  • Keywords
    filtering and prediction theory; parameter estimation; probability; statistical analysis; AR parameters; RLS adaptive filtering algorithm; auto-regressive estimators; inverse-invariant distributions; parameter estimation algorithms; probability density function; Convolution; Deconvolution; Density functional theory; Fourier series; Marine vehicles; Parameter estimation; Probability density function; Probability distribution; Random variables;
  • fLanguage
    English
  • Journal_Title
    Acoustics, Speech and Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-3518
  • Type

    jour

  • DOI
    10.1109/29.56069
  • Filename
    56069