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离散寿命分布类的统计封闭性
引用本文:王蓉华,张晓云.离散寿命分布类的统计封闭性[J].应用数学,2004(Z2).
作者姓名:王蓉华  张晓云
作者单位:上海师范大学数理信息学院 上海200234 (王蓉华),上海师范大学数理信息学院 上海200234(张晓云)
摘    要:由于几何分布的无记忆性,使得几何分布在离散型寿命分布研究中起着极其重要的作用.文章给出几何分布的一个重要特性———其第一个次序统计量仍服从几何分布(称其满足统计封闭特性).针对不同的离散型寿命分布类研究其是否具有统计封闭性.

关 键 词:离散寿命分布类  几何分布  统计封闭性

The Closed Statistical Property of Discrete Life Distribution Class
WANG Rong hua,ZHANG Xiao yun.The Closed Statistical Property of Discrete Life Distribution Class[J].Mathematica Applicata,2004(Z2).
Authors:WANG Rong hua  ZHANG Xiao yun
Abstract:Geometric distribution takes an important role in the research of discrete life distributions because of its loss of memory.In this paper,we derive a significant character of geometric distribution,i.e.for geometric distribution,the first order statistic is still submitted to geometric distribution,which is called the closed statistical property.Therefore,in present article,the study is carried out on different types of discrete life distributions to check whether they have the closed statistical property.
Keywords:Discrete life distribution class  Geometric distribution  Statistical closed property  
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