成比例反向失效率混合模型中的随机比较

Stochastic comparisons in proportional reversed hazard rate mixing model

成比例反向失效率混合模型可表示为G(x)=E[F(x)θ],其中,G为总体变量Y的分布函数,θ为随机比例参数,F为基本分布函数。研究了θ分布函数的不同选择所对应的成比例反向失效率混合模型之间的随机比较。证明了θ和Y是正似然比相依的。

The proportional reversed hazard mixing model can be expressed as G（x）= E[F（x）^θ], where G is the distribution function of the overall population random variable Y, θ is random proportionality parameter, F（x） is the baseline distribution function. Stochastic comparisons in the proportional reversed hazard mixing models arising from different choices of the distribution of θ were studied. It is shown that θ and Y are positively likelihood ratio dependent.