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Estimates of the rate of approximation in a de-poissonization lemma

Andrei Yu. Zaitsev — 2002

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

Multidimensional version of the results of Komlos, Major and Tusnady for vectors with finite exponential moments

Andrei Yu. Zaitsev — 2010

ESAIM: Probability and Statistics

A multidimensional version of the results of Komlos, Major and Tusnady for the Gaussian approximation of the sequence of successive sums of independent random vectors with finite exponential moments is obtained.

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