指数条件下二维分布的逆失效率

The Inverse Failure Rate of Two-dimensional Distributions

B.C.Arnold分别研究了如下两个模型:P{X>x|Y=y}=exp{-x(βγδy+β)},βγδ>0,x>0;(1)P{X>x|Y=y}=exp{-u(y)x}(2)指出在不同条件下模型(1)和(2)的条件生存函数均是指数分布,但失效率及其相关性质却是不同.而上述模型的逆失效率及其相关性质,其可靠性却有相似之处.

B.C.Arnold investigated the following two models： P{Xx｜Y=y}=exp{-x（βγδy＋β）},βγδ0,x0;（1） P{Xx｜Y=y}=exp{-u（y）x}（2） and pointed out that the conditional survival function of the both models are exponential under different conditioning,but the failure rate and the related nature are actually different.We studied the inverse failure rate and related reliability of both models and pointed out that the reliability of both models are actually similarly.