Some Applications to Nonparametric Estimation

  • I. A. Ibragimov
  • R. Z. Has’minskii
Part of the Applications of Mathematics book series (SMAP, volume 16)


Nonparametric estimation is a large branch of mathematical statistics dealing with problems of estimating functional or elements of some functional spaces in situations when these are not determined by specifying a finite number of parameters. In this chapter we shall show by means of several examples how the ideas of parametric estimation presented in Chapters I–III can be applied to problems of this kind.


Loss Function Parametric Family Nonparametric Estimation Nonparametric Estimator Information Quantity 


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Copyright information

© Springer Science+Business Media New York 1981

Authors and Affiliations

  • I. A. Ibragimov
    • 1
  • R. Z. Has’minskii
    • 2
  1. 1.LOMILeningradUSSR
  2. 2.Doz., Institut Problem Peredači Inf.MoscowUSSR

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