Basic renewal theorems for random walks with widely dependent increments
Basic renewal theorems for random walks with widely dependent increments
复制标题
具有广泛相关增量的随机游走的基本更新定理
DOI:
10.1016/j.jmaa.2011.06.010
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发表时间:
2011-12-15
影响因子:
1.3
通讯作者:
Cheng, Dongya
中科院分区:
文献类型:
--
作者:
Wang, Yuebao;Cheng, Dongya
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. (C) 2011 Elsevier Inc. All rights reserved.