Complete Convergence of Weighted Sums for $\rho^*$Mixing Sequence of Random Variables 
Received:May 06, 2012 Revised:September 03, 2012 
Key Words:
$\rho^*$mixing sequence of random variables weighted sums complete convergence moment inequality.

Fund Project:Supported by the National Natural Science Foundation of China\,(Grant Nos.11271020; 11201004), the Key Project of Chinese Ministry of Education (Grant No.211077) and the Natural Science Foundation of Anhui Province (Grant Nos.10040606Q30; 1208085MA11). 

Hits: 3017 
Download times: 2534 
Abstract: 
In this paper, the complete convergence of weighted sums for $\rho^*$mixing sequence of random variables is investigated. By applying moment inequality and truncation methods, the equivalent conditions of complete convergence of weighted sums for $\rho^*$mixing sequence of random variables are established. We not only promote and improve the results of Li et al. (J. Theoret. Probab., 1995, {\bf 8}(1): 4976) from i.i.d. to $\rho^*$mixing setting but also obtain their necessities and relax their conditions. 
Citation: 
DOI:10.3770/j.issn:20952651.2013.04.011 
View Full Text View/Add Comment Download reader 