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设X1,…,Xn是Possion分布总体P的样本,其中是未知参数.在平衡损失函数下,取共轭先验时,得到了的Bayes估计,进而讨论了的形如aX+b的估计的容许性问题.
Abstract:Let X1,…,Xn be a sample of Possion distribution population P,where is an unknown parameter.Under balanced loss function,obtains the Bayes estimator when uses conjugate distribution,then discusses the admissibility of a class of estimator as aX + b for.
[1]Zellner A.Bayesian and non-Bayesian estimation usingbalanced loss functions[A].Gupta S S,Berger J O(Eds).Statistical decision theory and related topicsⅤ[C].Berlin:Springer-Verlag,1994,377-390.
[2]Wan A T K.Risk comparison of inequality constrainedleast squares and other related estimators under balancedloss[J].Economics Letters,1994,46(3):203-210.
[3]Rodrigues J,Zellner A.Weighted balanced loss functionand estimation of the mean time to failure[J].Communica-tions in Statistics-Theory and Methods,1994,23(12):3609-3616.
[4]Giles J A,Giles D E A,Ohtani K.The exact risk of somepre-test and Stein-type regression estimators under bal-anced loss[J].Communications in Statistics-Theory andMethods,1996,25(12):2901-2919.
[5]Ohtani K.The exact risk of weighted average estimator ofthe els and stein-rule estimators in regression under bal-anced loss[J].Statistics&Decisions,1998,16(1):35-45.
[6]Sanjari N,Asgharzadeh A.Estimation of a normal meanrelative to balanced loss functions[J].Statistical Paper,2004,45(2):279-286.
[7]Chung Y,Kim C.Linear estimators of a possion mean un-der balanced loss functions[J].Statistics&Decisions,1998,16(2):245-257.
[8]成平,陈希孺,陈桂景,等.参数估计[M].上海:上海科技出版社,1985.
基本信息:
中图分类号:O211.3
引用信息:
[1]王剑,屈思敏.平衡损失下Possion分布参数的估计[J].江汉大学学报(自然科学版),2007,No.98(02):14-16.
2007-06-25
2007-06-25