CAJ | 학술논문

两两NQD随机变量序列是一类常见的随机变量序列，在理论与实际中有着广泛的应用。本文的主要目的是要研究一般两两NQD随机变量序列的强收敛性。利用两两NQD随机变量序列的三级数定理及其性质，通过巧妙的截尾方法，获得了两两NQD随机变量序列的一类强极限定理，同时给出一般例子说明本文结果改进和真推广了现有文献的一系列结果。
량량NQD수궤변량서렬시일류상견적수궤변량서렬，재이론여실제중유착엄범적응용。본문적주요목적시요연구일반량량NQD수궤변량서렬적강수렴성。이용량량NQD수궤변량서렬적삼급수정리급기성질，통과교묘적절미방법，획득료량량NQD수궤변량서렬적일류강겁한정리，동시급출일반례자설명본문결과개진화진추엄료현유문헌적일계렬결과。
The pairwise NQD sequence is a general class of random variables which has been widely utilized both theoretically and practically. The purpose of this paper is to discuss the strong convergence of the general pairwise NQD random variables. By applying the pairwise NQD three theorem, the property of pairwise NQD sequences and truncation methods, a class of strong limit theorems for the pairwise NQD random sequences are established. Furthermore, we give a series of examples which indicate that the results of this paper extend the previous ones.