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Upper functions for positive random functionals. II. Application to the empirical processes theory, part 1

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Abstract

In this part of the paper we apply the results obtained in Lepski (2013) to the variety of problems related to empirical processes.

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References

  1. O. Lepski, “Upper Functions for Positive Random Functionals. I. General Setting and Gaussian Random Functions”, Math. Methods Statist. 22(1), 1–27 (2013).

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  2. C. J. Stone, “Additive Regression and Other Nonparametric Models”, Ann. Statist. 13(2), 689–705 (1985).

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Author information

Authors and Affiliations

  1. Laboratoire d’Analyse, Topologie, Probab., Univ. Aix-Marseille, Marseille, France

    O. Lepski

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  1. O. Lepski
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Correspondence to O. Lepski.

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Cite this article

Lepski, O. Upper functions for positive random functionals. II. Application to the empirical processes theory, part 1. Math. Meth. Stat. 22, 83–99 (2013). http://doi.org/10.3103/S1066530713020014

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  • DOI: http://doi.org/10.3103/S1066530713020014

Keywords

2000 Mathematics Subject Classification