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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2010 Number 2, Pages 86–96 (Mi ivm6702)

This article is cited in 1 paper

Almost sure versions of limit theorems for random sums of multiindex random variables

A. N. Chuprunov, L. P. Terekhova

Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University, Kazan, Russia

Abstract: In this paper we obtain an almost sure version of a limit theorem for random sums of multiindex random variables that belong to the domain of attraction of a $p$-stable law.

Keywords: limit theorems, random variables, domain of attraction, random sums, Student statistic.

UDC: 519.214

Received: 13.06.2007
Revised: 31.03.2009


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:2, 74–83

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© Steklov Math. Inst. of RAS, 2024