• DocumentCode
    1051894
  • Title

    Relative sufficiency

  • Author

    Popoli, Robert F. ; Mendel, Jerry M.

  • Author_Institution
    Dept. of Electr. Eng.-Syst., Univ. of Southern California, Los Angeles, CA, USA
  • Volume
    38
  • Issue
    5
  • fYear
    1993
  • fDate
    5/1/1993 12:00:00 AM
  • Firstpage
    826
  • Lastpage
    828
  • Abstract
    By the classical definition of a sufficient statistic, either a statistic is or is not sufficient. A measure called relative sufficiency, by which the degree of sufficiency can be defined for the problem of random parameter estimation is presented. It is shown that relative sufficiency is equivalent to the Kullback-Leibler information measure. Its calculation and interpretation are illustrated for the estimation of a scalar random variable
  • Keywords
    parameter estimation; random functions; Kullback-Leibler information measure; random parameter estimation; relative sufficiency; scalar random variable; Approximation methods; Automatic control; Control systems; Frequency response; Parameter estimation; Polynomials; Random variables; Statistics; System identification; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.277262
  • Filename
    277262