摘要
本文研究了两两NQD列的一些极限性质,推广了Borel-Cantelli引理、三级数定理、强大数定律,利用已有的两两NQD列的相关理论,获得了系数(或系数的模)为两两NQD序列的随机Dirichlet级数的收敛横坐标的简洁公式,以及类似于两两独立序列的相关结果.
In this paper,we discuss some limit properties of pairwise NQD sequences,extend Borel-Cantelli lemma,the three series theorem and the strong law of large numbers.Utilizing some corresponding theory of pairwise NQD sequences,the auther obtains some simple and explicit formulae on abscissa of convergence of random Dirichlet series whose coefficients or the norms of whose coefficients are pairwise NQD sequences,extends the corresponging results of pairwise independent sequences.
出处
《数学杂志》
CSCD
北大核心
2008年第3期331-338,共8页
Journal of Mathematics
基金
海南省自然科学基金资助项目(80552)
海南大学自然科学基金资助项目(kyjj0528)
