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具有测量误差的非线性模型的Bayes估计
引用本文:王国富,彭伟锋,任海平.具有测量误差的非线性模型的Bayes估计[J].数学理论与应用,2005,25(2):106-109.
作者姓名:王国富  彭伟锋  任海平
作者单位:中南大学数学科学与计算技术学院,长沙,410083
摘    要:测量中大量的函数模型都是非线性回归模型.当回归变量含有一定的测量误差时,我们得到非线性测量误差模型.本讨论了这种模型中未知参数具有正态先验分布时的参数Bayes估计方法,并对这种估计进行了影响分析,证明了删除模型与均值漂移模型中参数的Bayes估计相同,利用Cook统计量给出了删除模型下参数的Bayes估计的影响度量.

关 键 词:Bayes估计  非线性模型  非线性回归模型  测量误差模型  均值漂移模型  函数模型  估计方法  先验分布  未知参数  影响度量  统计量  删除  正态

Abayes Estimation of Nonlinear Measurement Error Model
Wang Guofu Peng Wefeng Ren Haiping.Abayes Estimation of Nonlinear Measurement Error Model[J].Mathematical Theory and Applications,2005,25(2):106-109.
Authors:Wang Guofu Peng Wefeng Ren Haiping
Abstract:Nonlinear regression model has been used in surveying data p rocessing.As regression variables have some rrrors in measurement,we present a n onlinear measurement error model.In this paper,A Bayes estimation of the nonline ar measurement error model is derived.And we show that the case deletion model i s equivalent to mean shift outlier model.Using cook measure,a influence measure of the deletion model has been gived.
Keywords:Nonlinear regression model deletion model mean shift outlier model Bayes estimation Cook statistical inference
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