Tail and moment estimates for some types of chaos

Rafał Latała

Displaying similar documents to “Tail and moment estimates for some types of chaos”

Some combinatorial and probabilistic inequalities and their application to Banach space theory

Stanisław Kwapień, Carsten Schütt (1985)

Studia Mathematica

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A local limit theorem on the semi-direct product of $ℝ^{* +}$ and $ℝ^{d}$

Émile Le Page, Marc Peigné (1997)

Annales de l'I.H.P. Probabilités et statistiques

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A note on sums of independent uniformly distributed random variables

Rafał Latała, Krzysztof Oleszkiewicz (1995)

Colloquium Mathematicae

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On mean central limit theorems for stationary sequences

Jérôme Dedecker, Emmanuel Rio (2008)

Annales de l'I.H.P. Probabilités et statistiques

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In this paper, we give estimates of the minimal $𝕃^{1}$ distance between the distribution of the normalized partial sum and the limiting gaussian distribution for stationary sequences satisfying projective criteria in the style of Gordin or weak dependence conditions.

An isomorphic Dvoretzky's theorem for convex bodies

Y. Gordon, O. Guédon, M. Meyer (1998)

Studia Mathematica

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We prove that there exist constants C>0 and 0 < λ < 1 so that for all convex bodies K in $ℝ^{n}$ with non-empty interior and all integers k so that 1 ≤ k ≤ λn/ln(n+1), there exists a k-dimensional affine subspace Y of $ℝ^{n}$ satisfying $d (Y \cap K, B_{2}^{k}) \leq C (1 + \sqrt (k / l n (n / (k l n (n + 1))))$ . This formulation of Dvoretzky’s theorem for large dimensional sections is a generalization with a new proof of the result due to Milman and Schechtman for centrally symmetric convex bodies. A sharper estimate holds for the n-dimensional simplex. ...

On the Banach-Mazur distance of finite-dimensional symmetric Banach spaces and the hypergeometric distribution

Carsten Schütt (1982)

Studia Mathematica

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Minimal cyclic random motion in $R^{n}$ and hyper-Bessel functions

A. Lachal, S. Leorato, E. Orsingher (2006)

Annales de l'I.H.P. Probabilités et statistiques

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Displaying similar documents to “Tail and moment estimates for some types of chaos”

Some combinatorial and probabilistic inequalities and their application to Banach space theory

A local limit theorem on the semi-direct product of ℝ * + and ℝ d

A note on sums of independent uniformly distributed random variables

On mean central limit theorems for stationary sequences

An isomorphic Dvoretzky's theorem for convex bodies

On the Banach-Mazur distance of finite-dimensional symmetric Banach spaces and the hypergeometric distribution

Minimal cyclic random motion in R n and hyper-Bessel functions

A local limit theorem on the semi-direct product of $ℝ^{* +}$ and $ℝ^{d}$

Minimal cyclic random motion in $R^{n}$ and hyper-Bessel functions