• DocumentCode
    918886
  • Title

    Strong consistency of an estimate of the asymptotic error probability of the nearest neighbor rule (Corresp.)

  • Author

    Wolverton, Charles T.

  • Volume
    19
  • Issue
    1
  • fYear
    1973
  • fDate
    1/1/1973 12:00:00 AM
  • Firstpage
    119
  • Lastpage
    120
  • Abstract
    Let R be the asymptotic error probability of the nearest neighbor rule (NNR). A particular estimate of R from n -classified samples, known to converge to R in probability as n increases to infinity, is shown to actually converge with probability 1 to R whenever the NNR itself converges with probability 1.
  • Keywords
    Estimation; Pattern classification; Error probability; H infinity control; Lagrangian functions; Layout; Maximum likelihood estimation; Nearest neighbor searches; Nonlinear equations; Nonlinear optics; Optical sensors; Relaxation methods;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1973.1054947
  • Filename
    1054947