非平稳NA序列中心极限定理的一些结果

SOME RESULTS ON CLT FOR NONSTAIONARY NA SEQUENCES

本文讨论了非平稳同分布NA序列的渐近正态问题，给出了两个中心极限定理．以往的文献在讨论NA序列的这些问题时，多加有强平稳的限制；但是大量问题中所出现的NA序列却多为非平稳的，因此有开展研究的必要．本文在寻求摆脱平稳性限制的途径方面作了有益的尝试，所得的定理不仅可解决一大类非平稳NA序列的渐近正态问题．而且将以往的强平稳场合的结果包含为特例，具有一定的理论意义与应用价值．

Two central limit theorems (CLTs) for nonstationary identically distributed NA(Negatively Associated) sequence are obtained. The early papers on CLTs for NA sequencealways assume that the sequence is strictly stationary. However, this is not always the casein most application problems, so it is necessary to discuss nonstationary situations. Weattempt to drop off the stationary condition, and our methods can be used to solve someproblems on the asymptotical normality of nonstationary NA sequences. Our results includethose for strictly stationary NA sequences in the literature.