Improvement on MLE of the Means of Independent Poisson Distribution东北数学：英文版论文
【题名】：Improvement on MLE of the Means of Independent Poisson Distribution东北数学：英文版论文(Improvement on MLE of the Means of Independent Poisson DistributionDongBeiShuXue：YingWenBanLunWen) 【关键词】：泊松分布 损失方程 风险评估 最大可能性 【keywords】：BoSongFenBu SunShiFangCheng FengXianPingGu ZuiDaKeNengXing 【作者】：李排昌      【来源】： 知识词典 【期刊名称】：东北数学：英文版(DongBeiShuXue：YingWenBan) 【国际标准刊号】：1000-1778        【国内统一刊号】：22-1120 【作者单位】：DepartmentofMathematics,ChinesePeople＇sPublicSecurityUniversity,Beijing,102614(DepartmentofMathematics,ChinesePeople＇sPublicSecurityUniversity,Beijing,102614) 【分类号】：O212.1      【页码】：-315-318      【出版年】：2000.3 【下载地址】：下载pdf全文         In this paper, we consider the simultaneous estimation of the parameters (means) of the independent Poisson distribution by using the following loss functions: L0(θ，T)=∑i=1^n(Ti-θi)^2，L1(θ，T)=∑i=1^n(Ti-θi)^2/θi We develop an estimator which is better than the maximum likelihood estimator X simultaneously under L0(θ, T) and L1(θ, T). Our estimator possesses substantially smaller risk than the usual estimator X to estimate the parameters (means) of the independent Poisson distribution.
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