摘要
若令随机向量(X1,X2)表示系统中两元件的寿命,则X(1)=min(X1,X2)和X(2)=man(X1,X2)就表示两个元件组成的串并联系统的寿命.在文本中,我们主要考虑(X1,X2)不可交换而联合分布为二维Lomax分布情形下,X(1)和X(2)的相依性关系,并从随机比较的角度讨论了串并联系统的性质.
Let the random vector （ Xt, X2） be the the lifetimes of the two components in a system, the lifetimes of the series and the parallel structure can be expressed by order statistics X（1） = rain（ X1, X2） and X（2） = max（ X1, X2）, respectively. In this note, we consider the dependence of XO） and X（2） in the case that （X1, X2）is non - exchangeable and the joint distribution is a bivariate Loman distribution,and discuss the properties of series and parallel systems from stochastic comparirons.
基金
河南理工大学青年基金资助项目(Q2011-36A)
关键词
可靠度
Lomax分布
相依性
随机序
reliability
Lomax distribution
dependence
stochastic order
