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Some New Results in the Nonparametrical Estimation of Functionals

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Transactions of the Tenth Prague Conference

Part of the book series: Czechoslovak Academy of Sciences ((TPCI,volume 10A-B))

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Abstract

The solution of minimax estimation problem of the unbounded linear functional from observed in the Gaussian Noise signal is presented. Analogous problem is considered for nonlinear functionals with the bounded Hilbert-Schmidt norms of derivatives.

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References

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Author information

Authors and Affiliations

  1. IPPI AN-SSR, Ul. Ermolovoj 19, Moskva, 101447, USSR

    Rafail Hasminskii

  2. LOMI AN SSSR, Fontanka 27, Leningrad, USSR

    Ildar Ibragimov

Authors
  1. Rafail Hasminskii
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  2. Ildar Ibragimov
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Jan Ámos Višek

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© 1988 Academia, Publishing House of the Czechoslovak Academy of Sciences, Prague

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Hasminskii, R., Ibragimov, I. (1988). Some New Results in the Nonparametrical Estimation of Functionals. In: Višek, J.Á. (eds) Transactions of the Tenth Prague Conference. Czechoslovak Academy of Sciences, vol 10A-B. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3859-5_3

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  • DOI: https://doi.org/10.1007/978-94-009-3859-5_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8216-7

  • Online ISBN: 978-94-009-3859-5

  • eBook Packages: Springer Book Archive

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