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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2022 Volume 515, Pages 180–188 (Mi znsl7262)

This article is cited in 1 paper

On a complete moment convergence in precise asymptotics

L. V. Rozovsky

Saint-Petersburg State Chemical-Pharmaceutical University

Abstract: Liu and Lin (Statist. Probab. Lett. 2006) introduced a kind of complete moment convergence which includes the traditional one as a special case. We continue these investigations to make them somewhat more general and sharp.

Key words and phrases: independent random variables, normal law convergence rate, precise asymptotics, complete moment convergence.

UDC: 519.2

Received: 03.10.2022



© Steklov Math. Inst. of RAS, 2025