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Estimation des densités : Risque minimax

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Séminaire de Probabilités XII

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 649))

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Références

  1. Abou-Jaoudé (1977) Thèse, Université de Paris.

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  2. Farrell R.H. (1972) "On best obtainable asymptotic rates of convergence in estimation of a density function at a point." A.M.S. 43, 170–180.

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  3. Le Cam L. (1975) "On local and global properties in the theory of asymptotic normality of experiments". Stochastic Processes and related topics, Vol.1 A.P. New york.

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  4. Meyer Terry G. (1977) "Bounds for estimation of density functions and their derivatives" A.S. 5, no1, 136–142.

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  5. Nadaraya E.A. (1974) "On the integral mean square error of some non parametric estimates for the density function" Theor. of prob. and its applications 19, 133–141.

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  6. Wahba Grace (1975) "Optimal convergence properties of variable knot,kernel, and orthogonal series methods for density estimation" A.S. 3, no1, 15–29.

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Authors
  1. J. Bretagnolle
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  2. C. Huber
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Editors and Affiliations

  1. Départment de Mathématiques, Université Louis Pasteur de Strasbourg, 7, rue René Descartes, F-67084, Strasbourg, France

    C. Dellacherie  & P. A. Meyer  & 

  2. Départment de Mathématiques, Université de Besançon, F-2500, Besançon, France

    M. Weil

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© 1978 Springer-Verlag Berlin Heidelberg

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Bretagnolle, J., Huber, C. (1978). Estimation des densités : Risque minimax. In: Dellacherie, C., Meyer, P.A., Weil, M. (eds) Séminaire de Probabilités XII. Lecture Notes in Mathematics, vol 649. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064610

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  • DOI: https://doi.org/10.1007/BFb0064610

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08761-8

  • Online ISBN: 978-3-540-35856-5

  • eBook Packages: Springer Book Archive

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