Article ID Journal Published Year Pages File Type
1155135 Statistics & Probability Letters 2008 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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