NA序列部分和之随机和的中心极限定理

Central Limit Theorem for Random Sum of Partial Sums of NA Sequences

部分和之随机和在理论和实际中有着重要价值,中心极限定理则给出了它的渐近分布.利用前人得到的NA序列部分和之和的中心极限定理和部分和最大值的矩不等式,获得了NA序列部分和之随机和的中心极限定理,形成了与独立同分布情形对应的结果,并应用所得结论给出一类随机函数随机和的中心极限定理.

Random sum of partial sums was of great value in theory and practice , and its asymptotic dis- tribution was given by the central limit theorem. With the help of the central limit theorem for sum of par- tial sums and moment inequality for the maximum of partial sum of NA sequences, the central limit theo- rem for random sum of partial sums of NA sequences was obtained, which corresponded to the result on the I. I. D case. Then by the conclusion given above, a central limit theorem of random sum for a class of random functions was obtained.