Add to ORKGWe prove a Marcinkiewicz-Zygmund type inequality for random variables taking values in a smooth Banach space. Next, we obtain some sharp concentration inequalities for the empirical measure of {T, T 2, · · · , T n}, on a class of smooth functions, when T belongs to a class of nonuniformly expanding maps of the unit interval
AbstractA uniform estimate of the rate of convergence in the central limit theorem (CLT) in certain ...
We prove a sharp inequality conjectured by Bobkov on the measure of dilations of Borel sets in Rn by...
It is shown, with the use of a concentration inequality of LeCam, that associated with an infinitely...
International audienceWe prove a Marcinkiewicz-Zygmund type inequality for random variables taking v...
International audienceWe prove a Marcinkiewicz-Zygmund type inequality for random variables taking v...
Abstract: Certain previously known upper bounds on the moments of the norm of martingales in 2-smoot...
© 2015 Society for Industrial and Applied Mathematics. Certain previously known upper bounds on the ...
Analogues of the Marcinkiewicz-Zygmund, Rosenthal and Acosta inequalities for Banach space valued ra...
Let F be a Banach space with a sufficiently smooth norm. Let (Xi)i =0, we have P(s[less-than-or-equa...
AbstractLet F be a Banach space with a sufficiently smooth norm. Let (Xi)i≤n be a sequence in LF2, a...
The well-known von Bahr-Esseen bound on the absolute pth moments of martingales with p ∈ (1, 2] is e...
We present a new general concentration-of-measure inequality and illustrate its power by applicatio...
We consider a random variable X that takes values in a (possibly infinite-dimensional) topological v...
New Vapnik–Chervonenkis type concentration inequalities are derived for the empirical distribution o...
AbstractFor a sequence of independent and identically distributed random variables (r.v.) valued in ...
AbstractA uniform estimate of the rate of convergence in the central limit theorem (CLT) in certain ...
We prove a sharp inequality conjectured by Bobkov on the measure of dilations of Borel sets in Rn by...
It is shown, with the use of a concentration inequality of LeCam, that associated with an infinitely...
International audienceWe prove a Marcinkiewicz-Zygmund type inequality for random variables taking v...
International audienceWe prove a Marcinkiewicz-Zygmund type inequality for random variables taking v...
Abstract: Certain previously known upper bounds on the moments of the norm of martingales in 2-smoot...
© 2015 Society for Industrial and Applied Mathematics. Certain previously known upper bounds on the ...
Analogues of the Marcinkiewicz-Zygmund, Rosenthal and Acosta inequalities for Banach space valued ra...
Let F be a Banach space with a sufficiently smooth norm. Let (Xi)i =0, we have P(s[less-than-or-equa...
AbstractLet F be a Banach space with a sufficiently smooth norm. Let (Xi)i≤n be a sequence in LF2, a...
The well-known von Bahr-Esseen bound on the absolute pth moments of martingales with p ∈ (1, 2] is e...
We present a new general concentration-of-measure inequality and illustrate its power by applicatio...
We consider a random variable X that takes values in a (possibly infinite-dimensional) topological v...
New Vapnik–Chervonenkis type concentration inequalities are derived for the empirical distribution o...
AbstractFor a sequence of independent and identically distributed random variables (r.v.) valued in ...
AbstractA uniform estimate of the rate of convergence in the central limit theorem (CLT) in certain ...
We prove a sharp inequality conjectured by Bobkov on the measure of dilations of Borel sets in Rn by...
It is shown, with the use of a concentration inequality of LeCam, that associated with an infinitely...