混合寿命分布的类不变性

Class-invariance of mixture of lifetime distributions

讨论了寿命分布混合的类不变性问题.在相关的文献中,限制条件是加到分布函数族{F(x;α):α∈R+}上,而混合分布函数G任意,通过将限制条件加到混合分布函数G上,改进了已有的相关结果.最后,将改进的类不变性结论应用于一类指数模型,得到了有限混合指数模型的类不变性结果.

This paper, discussed the class-invariance of mixture of lifetime-distributions. In the relative reference, a restriction is imposed on a family of distribution functions F（x;α）：α∈R＋}and the mixture distribution function G is arbitrary. And in this paper this restriction condition is to impose on the mixture distribution function G and some improvements are made by the conclusions. Finally, the conclusions of the class-invariance are applied to a family of the exponential models to obtain the class-invariance of finite mixture of exponential models.