期刊名称：Sankhya. Series A, mathematical statistics and probability
印刷版ISSN：0976-836X
电子版ISSN：0976-8378
出版年度：2003
卷号：65
期号：02
出版社：Indian Statistical Institute
摘要：We derive a characterization and simple sufficient conditions for equality in distribution of discrete convex-ordered lifetimes. Special cases of our results yield criteria for the corresponding stochastic equivalence in terms of moments, moment generating or, probability generating functions. When one of the ordered pair of lifetimes is geometric, application of our results yield a new characterization of the discrete memoryless geometric distribution among all survival times which are weakly aging as HNBUE. Illustrative applications of our results for comparing discrete time branching processes are indicated.
