指数型分布族的因子分解判别法  

Factorization discriminant method of exponential distribution family

作　　者：张生智[1] 

机构地区：[1]甘肃民族师范学院数学系,甘肃合作747000

出　　处：《西北大学学报（自然科学版）》2010年第1期19-21,共3页Journal of Northwest University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(10771169);甘肃民族师范学院院长基金资助项目(08-17)

摘　　要：目的解决指数型分布族判别方法不够简便的问题。方法在因子分解定理的基础上提出了一个判别指数型分布族的简单方法。结果提出了指数型分布族的因子分解判别法,并给出了指数型分布族的一个良好性质。结论该判别法比用定义法判别指数型分布族更简单易行。Aim To solve the inconvenience of exponential distribution family.Methods A simple method for distinguishing of exponential distribution family is obtained based on factorization theorem.Results A factorization discriminance of exponential distribution family was obtained,moreover good properties of exponential distribution family were established.Conclusion This results show that this method is simpler and convenient than that of definition discriminating.

关 键 词：指数型分布族 因子分解法 分布族 

分 类 号：O211.3[理学—概率论与数理统计]