两两NQD列的Marcinkiewicz-Zygmund不等式及其应用
MARCINKIEWICZ-ZYGMUND INEQUALITY FOR PAIRWISE NQD RANDOM VARIABLES AND ITS APPLICATIONS

本文研究了两两NQD随机变量的Marcinkiewicz-Zygmund不等式及其应用的问题.利用截尾的方法,获得了两两NQD随机变量的p阶(1 ≤ p < 2) Marcinkiewicz-Zygmund不等式结果.作为应用,获得了两两NQD随机变量的两个Lr收敛性结果的简单证明,改进了陈平炎[10]和Sung[20]的相应工作.
In this paper,the author studies the Marcinkiewicz-Zygmund inequality for pairwise negative quadrant dependent (NQD) random variables and it applications.By using the truncated method,the author obtains the Marcinkiewicz-Zygmund inequality with exponent p(1 ≤ p < 2) for pairwise NQD random variables.As applications,the author obtains the simpler proofs of two Lr convergence results for pairwise NQD random variables,which improve the corresponding work by Chen [10] and Sung [20] respectively