Kh. Batirov, D. V. Manevich, S. V. Nagaev, “The Esseen inequality for sums of a random number of differently distributed random variables”, Mat. Zametki, 1977, Volume 22, Issue 1,Pages <nobr>143

This article is cited in 7 papers

The Esseen inequality for sums of a random number of differently distributed random variables

Kh. Batirov^ab, D. V. Manevich^ab, S. V. Nagaev^ab

^a Tashkent State Pedagogical Institute
^b Institute of Mathematics, Siberian Branch of USSR Academy of Sciences

Abstract: The problem of estimation of deviation of the distribution of the sum of a random number of differently distributed random variables from the normal distribution is considered, i.e., the Esseen inequality for distributions of random sums is established. As a particular case, the Berry–Esseen inequality is obtained.

UDC: 519.2

Received: 24.04.1976