辽宁工程技术大学学报（自然科学版）2012，Vol.31Issue(1)：110-113,4.
幂级数分布族的一些统计性质
Statistical properties of power series distribution
摘要
Abstract
To investigate the properties of power series distribution, firstly this paper introduces the definition of power series distribution and proves its three properties. Secondly, the paper studies the parameter's structures of the power series distribution of common discrete distributions, and finds that some common discrete distributions are power series distributions. Finally, by applying the properties, the paper determines the distribution forms of complete sufficient statistics, the uniformly minimum variance unbiased estimation and tihe random variable values problem. It concludes that the respective parameter's structures and forms of common discrete distributions are uniform under the framework of power series distribution.关键词
幂级数分布族/统计性质/参数估计/离散型分布/一致最小方差无偏估计/完备统计量/充分统计量/参数结构Key words
power series distribution/ statistical property/ parameter estimation/ discrete distribution/ UMVUE/ complete statistics/ sufficient statistics/ parameter's structures分类
数理科学引用本文复制引用
顾光同,费宇,徐群芳,管宇..幂级数分布族的一些统计性质[J].辽宁工程技术大学学报（自然科学版）,2012,31(1):110-113,4.基金项目
国家自然科学基金资助项目(11061036):云南省自然科学基金资助项目(2009ZC088M) （11061036）
