重庆工商大学学报（自然科学版）2017，Vol.34Issue(1)：1-5,33,6.DOI:10.16055/j.issn.1672-058X.2017.0001.001
康威－麦斯威尔－泊松分布及其统计与概率性质
The Conway-Maxwell-Poisson Distribution and Its Statistical and Probabilistic Properties
摘要
Abstract
the Conway-Maxwell-Poisson distribution is a useful discrete distribution,this distribution is a two-parameter extension of the Poisson distribution.Its statistical and probabilistic properties are researched and explored.Taking the moment generating function as a tool,the digital features and moment of the distribution are discussed,the implicit equations about the point estimates of parameters are given,the Fisher information matrix about parameters is derived.Finally we study the conjugate distribution about parameters,the marginal distributions of the conjugate distribution and conditional distributions.关键词
康威-麦斯威尔-泊松分布/矩/点估计/信息矩阵/共轭族/指数族Key words
Conway-Maxwell-Poisson distribution/moment/point estimation/information matrix/conjugate family/exponential family分类
数理科学引用本文复制引用
姜培华..康威－麦斯威尔－泊松分布及其统计与概率性质[J].重庆工商大学学报（自然科学版）,2017,34(1):1-5,33,6.基金项目
国家自然科学基金（11401006）；2015年安徽省高等教育提升计划省级自然科学研究一般项目（TSKJ2015B29）；安徽工程大学教学研究项目（2014JYXM32）；安徽省自然科学基金（1208085QA04）． （）
