%0 Journal Article %A Hu Xueping %A Fang Guohua %T Convergence for Weighted Sums of Dependent Random Variables under Residual h-Integrability Assumption %D 2013 %R %J CHINESE JOURNAL OF APPLIED PROBABILITY AND STATISTICS %P 64-74 %V 29 %N 1 %X

Let be an array of random variables and be an array of
constants. A new concept of integrability (call residually
-integrability) for an array of random variables with respect to an array of constants  is introduced,
which is weaker than other related notions of integrability, such as
-integrability,  -integrability. Under this
assumption of integrability and appropriate conditions on the array
of weights, we investigate strong convergence and mean convergence
for weighted sums of dependent random variables. Some related
results in literature are extended and improved.

%U http://aps.ecnu.edu.cn/EN/