摘要
在齐次Poisson冲击模型中,证明了当促使元件失效的随机冲击次数依期望序,反向失效率序,反向平均剩余寿命序,增凹序,Laplace变换序增加时,元件的寿命也依相应的随机序增加.
It has been shown in Singh and Jain （1989） that, under homogeneous Poisson shock model, the lives of components will increase in the sense of likelihood ratio ordering, failure rate ordering, mean residual life ordering, usual stochastic ordering and increasing convex ordering if the number of shocks which cause the failure of the components increases in the sense of corre-sponding stochastic orderings. Similar results are proved to hold if above stochastic orderings are substituted by expectation ordering, reversed failure rate ordering, reversed mean residual life ordering, increasing convave ordering and Laplace transform ordering.
出处
《甘肃科学学报》
2007年第1期47-50,共4页
Journal of Gansu Sciences
基金
解放军炮兵学院青年后备人才科研基金(20060220)
关键词
期望序
反向失效率序
反向平均剩余寿命序
增凹序
Laplace变换序
齐次Poisson冲击模型
expectation ordering
reversed failure rate ordering
reversed mean residual life ordering
increase concave ordering
Laplace transform ordering
homogeneous Poisson process
