Displaying similar documents to “A note on sums of independent uniformly distributed random variables”

A vectorial expression for Liapounov's central limit theorem.

Ramón Ardanuy, Angel Luis Sánchez (1992)

Extracta Mathematicae

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In this paper we prove two Liapounov's central limit theorems for a sequence of independent p-dimensional random vectors, with mean and variance and covariance matrix ∑n, in cases of both general and uniformly bounded sequence.

Tail and moment estimates for some types of chaos

Rafał Latała (1999)

Studia Mathematica

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Let X i be a sequence of independent symmetric real random variables with logarithmically concave tails. We consider a variable X = ∑ i ≠ j a i , j X i X j , where a i , j are real numbers. We derive approximate formulas for the tails and moments of X and of its decoupled version, which are exact up to some universal constants.

Local limit theorems on some non unimodular groups.

Emile Le Page, Marc Peigné (1999)

Revista Matemática Iberoamericana

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Let Gd be the semi-direct product of R*+ and Rd, d ≥ 1 and let us consider the product group Gd,N = Gd x RN, N ≥ 1. For a large class of probability measures μ on Gd,N, one prove that there exists ρ(μ) ∈ ]0,1] such that the sequence of finite measures {(n(N+3)/2 / ρ(μ)n) μ*n...