■混合随机变量列L_p收敛性

L_p Convergence for ■-Mixing Random Variables

设{Xn;n≥1}是ρ珓混合随机变量序列,{an,k;1≤k≤n}是实数阵列,利用矩不等式和截尾方法,研究n∑k=1 an,kXk的Lp收敛性,所获的结论推广和改进了前人的相关结果.

Let{Xn;n≥1}be a sequence of -mixing random variables,{an,k;1≤k≤n}be an array of real numbers.By the moment inequality and truncated method,the authors study the Lp convergence for the weighted sums n∑k=1 an,kXk results extend and improve the corresponding results made in some previous papers.