Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1155135 | Statistics & Probability Letters | 2008 | 6 Pages |
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
Authors
Weiguo Yang, Xue Yang,