05284586

j

05284586 Hu, Bijin Class-invariance of mixtures of lifetime distributions. J. Huazhong Norm. Univ., Nat. Sci. 41, No. 3, 340-342,347 (2007). 2007 Editorial Department of Journal of Huazhong Normal University, Guizishan, Wuchang ZH classes of lifetime distributions mixtures of distributions exponential models Zbl 1062.62019 Summary: This paper discusses the class-invariance of mixtures of lifetime-distributions. In a paper of {\it J.\,Stoyanov } and {\it M.\,H.\,M.\,Al-Sadi } [J. Appl. Probab. 41, No. 4, 953--960 (2004; Zbl 1062.62019)] a restriction is imposed on a family of distribution functions $\{F (x:\alpha):\alpha\in R_+\}$ and the mixture distribution function $G$ is arbitrary. In this paper this restriction condition is imposed on the mixture distribution function $G$ and some improvements are made in the conclusions. Finally, the conclusions of the class-invariance are applied to a family of exponential models to obtain the class-invariance of finite mixtures of exponential models.