Upper functions for positive random functionals. Application to the empirical processes theory II
- Lepski, Oleg
DOIAbstract
International audienceThis part of the paper finalizes the research started in Lepski (2013b)
International audienceThis part of the paper finalizes the research started in Lepski (2013b)
We derive a high-resolution formula for the $L^2$-quantization errors of Riemann-Liouville processes...
contains corrections with respect to published version.We provide a simple proof of a result which g...
4 pagesInternational audienceThis note shows that some assumption on small balls probability, freque...
International audience—In this part of the paper we apply the results obtained in Lepski (2013) to t...
International audienceIn this paper we are interested in finding upper functions for a collection re...
For a Lévy process ξ=(ξt)t≥0 drifting to −∞, we define the so-called exponential functional as follo...
International audienceIn this paper, we develop a general machinery for finding explicit uniform pro...
AbstractWe approximate the empirical process, based on multivariate random samples with an arbitrary...
summary:To study the asymptotic properties of entropy estimates, we use a unified expression, called...
Type d'article: SurveyThis text surveys properties and applications of the exponential functional $\...
Mathematical Subject Classification 2010:26A33, 33E99, 15A52, 62E15.Mittag-Leffler functions and the...
As an estimator of a real estimable parameter, we consider a linear combination of U-statistics whic...
The general solutions of a functional equation, containing two unknown functions, and related to a f...
We continue our investigation on the transportation-information inequalities $W_pI$ for a symmetric ...
AbstractIn this note, we establish some bounds on the supremum of certain empirical processes indexe...
We derive a high-resolution formula for the $L^2$-quantization errors of Riemann-Liouville processes...
contains corrections with respect to published version.We provide a simple proof of a result which g...
4 pagesInternational audienceThis note shows that some assumption on small balls probability, freque...
International audience—In this part of the paper we apply the results obtained in Lepski (2013) to t...
International audienceIn this paper we are interested in finding upper functions for a collection re...
For a Lévy process ξ=(ξt)t≥0 drifting to −∞, we define the so-called exponential functional as follo...
International audienceIn this paper, we develop a general machinery for finding explicit uniform pro...
AbstractWe approximate the empirical process, based on multivariate random samples with an arbitrary...
summary:To study the asymptotic properties of entropy estimates, we use a unified expression, called...
Type d'article: SurveyThis text surveys properties and applications of the exponential functional $\...
Mathematical Subject Classification 2010:26A33, 33E99, 15A52, 62E15.Mittag-Leffler functions and the...
As an estimator of a real estimable parameter, we consider a linear combination of U-statistics whic...
The general solutions of a functional equation, containing two unknown functions, and related to a f...
We continue our investigation on the transportation-information inequalities $W_pI$ for a symmetric ...
AbstractIn this note, we establish some bounds on the supremum of certain empirical processes indexe...
We derive a high-resolution formula for the $L^2$-quantization errors of Riemann-Liouville processes...
contains corrections with respect to published version.We provide a simple proof of a result which g...
4 pagesInternational audienceThis note shows that some assumption on small balls probability, freque...
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