A note on strong limit theorems for arbitrary stochastic sequences

The purpose of this paper is to establish a strong limit theorem of the Dubins-Freedman type for arbitrary stochastic sequences. This generalizes a result by Isaac. Our theorem on growth rate for arbitrary stochastic sequences generalizes a result by Freedman and a result by Petrov. We also establish a theorem for a sequence of independent, symmetric random variables which generalizes another result by Freedman.

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Year of publication:	2008
Authors:	Yang, Weiguo ; Yang, Xue
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 78.2008, 14, p. 2018-2023
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005211861