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Some Applications to Nonparametric Estimation

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

Abstract

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.

Keywords

Loss Function Parametric Family Nonparametric Estimation Nonparametric Estimator Information Quantity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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