华东师范大学学报（自然科学版）
華東師範大學學報（自然科學版）
화동사범대학학보（자연과학판）
JOURNAL OF EAST CHINA NORMAL UNIVERSITY(NATURAL SCIENCE)
2009年
4期
62-68
,共7页
负相伴%一致变化尾%控制变化尾%长尾%精确大偏差
負相伴%一緻變化尾%控製變化尾%長尾%精確大偏差
부상반%일치변화미%공제변화미%장미%정학대편차
negatively association%consistently varying tail%dominately varying tail%long tail%precise large deviation
利用重尾分布类D∩(￡)性质的刻画,得到了重尾分布类D∩(￡)中负相伴重尾随机变量和(随机和与非随机和)的精确大偏差,而重尾分布类D∩(￡)是严格包含(￡)的,从而首次将现有的精确大偏差结果推广到更大的重尾分布子类上.
利用重尾分佈類D∩(￡)性質的刻畫,得到瞭重尾分佈類D∩(￡)中負相伴重尾隨機變量和(隨機和與非隨機和)的精確大偏差,而重尾分佈類D∩(￡)是嚴格包含(￡)的,從而首次將現有的精確大偏差結果推廣到更大的重尾分佈子類上.
이용중미분포류D∩(￡)성질적각화,득도료중미분포류D∩(￡)중부상반중미수궤변량화(수궤화여비수궤화)적정학대편차,이중미분포류D∩(￡)시엄격포함(￡)적,종이수차장현유적정학대편차결과추엄도경대적중미분포자류상.
By using the characterization of heavy-tailed random variables in D∩(￡), precise large deviations for sums (nonrandom sums and random sums) of negatively associated heavy-tailed random variables in D∩(￡) were obtained, where the subclass D∩(￡) strictly contains C. Therefore, it firstly extends some existed precise large deviation results to some larger subclasses of heavy tailed distributions.
