4 pagesInternational audienceThis note shows that some assumption on small balls probability, frequently used in the domain of functional statistics, implies that the considered functional space is of finite dimension. To complete this result an example of L2 process is given that does not fulfill this assumption
We derive a high-resolution formula for the $L^2$-quantization errors of Riemann-Liouville processes...
Functional data analysis is a fast-growing research area in statistics, dealing with statistical ana...
We study the extent to which the Hausdorff dimension of a compact subset of an infinite-dimensional ...
4 pagesInternational audienceThis note shows that some assumption on small balls probability, freque...
If a problem in functional data analysis is low dimensional then the methodology for its solution ca...
In this paper we investigate the use of description length principles to select an appropriate numbe...
The class of location-scale finite mixtures is of enduring interest both from applied and theoretica...
In this short note we consider the finite-dimensional distributions of sets of states generated by d...
The arbitrary functions principle says that the fractional part of $nX$ converges stably to an indep...
International audienceThis part of the paper finalizes the research started in Lepski (2013b)
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
International audienceLet (Y i , Z i) i≥1 be a sequence of independent, identically distributed (i.i...
For a family of infinite-dimensional diffusions with degenerate noise, we develop a modified $\Gamma...
International audienceThe aim of this paper is to establish various functional inequalities for the ...
We prove the following result on the generalized fractal dimensions $D^{±}_q$ of a probability measu...
We derive a high-resolution formula for the $L^2$-quantization errors of Riemann-Liouville processes...
Functional data analysis is a fast-growing research area in statistics, dealing with statistical ana...
We study the extent to which the Hausdorff dimension of a compact subset of an infinite-dimensional ...
4 pagesInternational audienceThis note shows that some assumption on small balls probability, freque...
If a problem in functional data analysis is low dimensional then the methodology for its solution ca...
In this paper we investigate the use of description length principles to select an appropriate numbe...
The class of location-scale finite mixtures is of enduring interest both from applied and theoretica...
In this short note we consider the finite-dimensional distributions of sets of states generated by d...
The arbitrary functions principle says that the fractional part of $nX$ converges stably to an indep...
International audienceThis part of the paper finalizes the research started in Lepski (2013b)
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
International audienceLet (Y i , Z i) i≥1 be a sequence of independent, identically distributed (i.i...
For a family of infinite-dimensional diffusions with degenerate noise, we develop a modified $\Gamma...
International audienceThe aim of this paper is to establish various functional inequalities for the ...
We prove the following result on the generalized fractal dimensions $D^{±}_q$ of a probability measu...
We derive a high-resolution formula for the $L^2$-quantization errors of Riemann-Liouville processes...
Functional data analysis is a fast-growing research area in statistics, dealing with statistical ana...
We study the extent to which the Hausdorff dimension of a compact subset of an infinite-dimensional ...
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