Title of article
Basic renewal theorems for random walks with widely dependent increments
Author/Authors
Wang، نويسنده , , Yuebao and Cheng، نويسنده , , Dongya، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2011
Pages
10
From page
597
To page
606
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.
Keywords
Basic renewal theorems , Wide dependence , Uniform integrability , The strong law of large numbers
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2011
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562191
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