合肥工业大学学报(自然科学版)
閤肥工業大學學報(自然科學版)
합비공업대학학보(자연과학판)
JOURNAL OF HEFEI UNIVERSITY OF TECHNOLOGY(NATURAL SCIENCE)
2014年
6期
761-763
,共3页
邓新%夏凤熙%王学军
鄧新%夏鳳熙%王學軍
산신%하봉희%왕학군
END随机变量%加权和%几乎处处收敛性%随机控制
END隨機變量%加權和%幾乎處處收斂性%隨機控製
END수궤변량%가권화%궤호처처수렴성%수궤공제
extended negatively dependent(END) random variable%weighted sum%almost sure conver-gence%stochastic domination
文章主要讨论了同分布条件下END随机变量序列加权和在相关的矩条件和权系数条件下的几乎处处收敛性,并得到了在随机控制条件下的相应结果,该结果推广了独立随机变量序列和负相依随机变量序列几乎处处收敛性质的相应结果。
文章主要討論瞭同分佈條件下END隨機變量序列加權和在相關的矩條件和權繫數條件下的幾乎處處收斂性,併得到瞭在隨機控製條件下的相應結果,該結果推廣瞭獨立隨機變量序列和負相依隨機變量序列幾乎處處收斂性質的相應結果。
문장주요토론료동분포조건하END수궤변량서렬가권화재상관적구조건화권계수조건하적궤호처처수렴성,병득도료재수궤공제조건하적상응결과,해결과추엄료독립수궤변량서렬화부상의수궤변량서렬궤호처처수렴성질적상응결과。
This paper deals with the almost sure convergence of weighted sums of identically distributed extended negatively dependent (END) random variables under the conditions of moments and weight coefficients .The corresponding result under the condition of stochastic domination is also obtained . The result obtained in the paper extends the corresponding one of independent random variable se-quence and negatively dependent random variable sequence .