延边大学学报：自然科学版
延邊大學學報：自然科學版
연변대학학보：자연과학판
Journal of Yanbian University：Natural Science
2011年
4期
306-310,344
,共6页
李美霖%崔雪松%姜今锡
李美霖%崔雪鬆%薑今錫
리미림%최설송%강금석
Cornish-Fisher展开%渐进展开%分位数%累量%系统可靠度
Cornish-Fisher展開%漸進展開%分位數%纍量%繫統可靠度
Cornish-Fisher전개%점진전개%분위수%루량%계통가고도
Cornish-Fisher expansion%asymptotic expansion%quartiles%Cumulant%system reliability
基于Cornish—Fisher展开，提出了随机样本分位数渐进展开算法．借助于标准正态分布的分位数以及随机样本的前n阶累量，讨论了确定未知分布随机样本的分位数以及在复杂系统可靠性综合评估中构造系统可靠度置信区间的问题．
基于Cornish—Fisher展開，提齣瞭隨機樣本分位數漸進展開算法．藉助于標準正態分佈的分位數以及隨機樣本的前n階纍量，討論瞭確定未知分佈隨機樣本的分位數以及在複雜繫統可靠性綜閤評估中構造繫統可靠度置信區間的問題．
기우Cornish—Fisher전개，제출료수궤양본분위수점진전개산법．차조우표준정태분포적분위수이급수궤양본적전n계루량，토론료학정미지분포수궤양본적분위수이급재복잡계통가고성종합평고중구조계통가고도치신구간적문제．
Based on Cornish-Fisher expansion, we proposed a random sample asymptotic expansion algorithm of the quartiles. With the quantiles of standard normal distribution and the former n-order cumulant of random samples, we discussed how to find the quantiles of a random sample of the unknown distribution and construc- ted system reliability confidence interval in a reliability comprehensive assessment of the complex systems.
