行为AANA阵列的收敛性

Convergence Properties of Arrays of AANA

设{Xnk;1≤k≤n,n∈N}是行为AANA随机变量阵列,在一些矩条件下,研究了AANA阵列行和的收敛性质,利用截尾方法和矩不等式,获得了行为AANA阵列的Lp收敛性和完全收敛性定理.

Let{Xnk;1≤k≤n,n∈N}be an array of rowwise asymptotically almost negative associated(AANA)random variables.Under some general moment conditions,the convergence properties for the sums of AANA random variables were studied.By the truncated method and the mean's moment inequality,the Lpconvergence and complete convergence of AANA random variables were given.