A note on strong limit theorems for arbitrary stochastic sequences

Weiguo Yang and Xue Yang

Statistics & Probability Letters, 2008, vol. 78, issue 14, 2018-2023

Abstract: 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.

Date: 2008
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