On properties of binary random numbers

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.

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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