Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4618015 | Journal of Mathematical Analysis and Applications | 2011 | 10 Pages |
Abstract
In this paper, we derive some basic renewal theorems for random walks with widely dependent increments, which contain some common negatively dependent random variables (r.v.s.), some positively dependent r.v.s. and some others. For this purpose, we investigate uniform integrability for related counting processes and the strong law of large numbers for the widely dependent r.v.s.
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