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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2012 Volume 408, Pages 175–186 (Mi znsl5499)

This article is cited in 2 papers

On the approximation of convolutions by accompanying laws in the scheme of series

A. Yu. Zaitsevab

a St. Petersburg State University, St. Petersburg, Russia
b St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia

Abstract: The problem of the approximation of convolutions by accompanying laws in the scheme of series satisfying the infinitesimality condition is considered. It is shown that the quality of approximation depends essentially on the choice of centering constants.

Key words and phrases: scheme of series, approximation, accompanying laws, compound Poisson distributions, sums of independent random vectors.

UDC: 519.2

Received: 02.11.2012


 English version:
Journal of Mathematical Sciences (New York), 2014, 199:2, 162–167

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