随机寿命间的TTT序关系的一个非参数检验(英文)  

A Nonparametric Test Method for Total Time on Test Transform Order Between Two Random Lives

作　　者：李效虎[1] 程国栋[1] 

机构地区：[1]中国科学院寒区旱区环境与工程研究所

出　　处：《应用数学》2003年第4期1-7,共7页Mathematica Applicata

基　　金：SupportedbyNSFCunderGrantNo .TY 10 12 6 0 14and 10 2 0 10 10

摘　　要：本文先建立了一个具有TTT序关系的两个非负随机变量之间距离的概率度量 ,然后构造了一个非参数检验方法以判断严格的TTT序关系 ,利用L 统计理论获得了检验统计量的渐近分布 。A probabilistic measurement of ”distance ” bet ween two TTT transform ordered random lives is built at first in this paper.Afte rward,a nonparametric procedure is developed to test the strict total time on te st transform order between two random elements.The asymptotic normality of the t est statistic is established by expressing the test statistic as Lstatistic.Fi nally,some numerical simulations are presented so as to demonstrate the performa nce of the presented test.

关 键 词：随机寿命 TTT序 非参数检验 NBUE序 L-统计量 渐近分布 

分 类 号：O211.6[理学—概率论与数理统计] O212.1[理学—数学]