• DocumentCode
    2654875
  • Title

    Fast estimation of uniformly-distributed random processes using extreme values

  • Author

    Lever, Ken

  • Author_Institution
    Commun. Res. Centre, Cardiff Univ., UK
  • Volume
    2
  • fYear
    2004
  • fDate
    7-10 Nov. 2004
  • Firstpage
    2324
  • Abstract
    The nonlinear estimation, due to R. A. Fisher, of the mean of a uniformly-distributed random variable given by the average of the extreme values of N samples is unbiased. Furthermore, the variance of the estimation is very much less than that for the conventional linear estimation. Two extreme-based estimation of variance are considered, and their properties investigated for uniform, Gaussian and Laplacian distributions.
  • Keywords
    Gaussian distribution; nonlinear estimation; random processes; sampling methods; Gaussian distributions; Laplacian distributions; nonlinear estimation; uniformly-distributed random processes; Estimation theory; Gaussian approximation; Laplace equations; Neural networks; Probability distribution; Random processes; Random variables;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Signals, Systems and Computers, 2004. Conference Record of the Thirty-Eighth Asilomar Conference on
  • Print_ISBN
    0-7803-8622-1
  • Type

    conf

  • DOI
    10.1109/ACSSC.2004.1399583
  • Filename
    1399583