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非线性测量误差模型的Bayes估计
引用本文:金晶亮. 非线性测量误差模型的Bayes估计[J]. 南通大学学报(自然科学版), 2009, 8(2): 91-94
作者姓名:金晶亮
作者单位:南通大学,理学院,江苏,南通,226007
摘    要:讨论了非线性测量误差模型在未知参数具有正态先验分布时的参数Bayes估计,并对这种估计进行了影响分析,证明了删除模型(CDM)和均值漂移模型(MSOM)具有相同的参数Bayes估计,同时给出了参数Bsyes估计的影响函数.

关 键 词:非线性模型  测量误差  Bayes估计

Bayes Estimation of Nonlinear Measurement Error Model
JIN Jing-liang. Bayes Estimation of Nonlinear Measurement Error Model[J]. Journal of Nantong University (Natural Science Edition), 2009, 8(2): 91-94
Authors:JIN Jing-liang
Affiliation:School of Sciences;Nantong University;Nantong 226007;China
Abstract:As regression variables of nonlinear model have some errors in measurement,the original model becomes a nonlinear measurement error model.The paper investigates the Bayes estimation of the nonlinear model when the unknown parameters are in normal prior distribution.After the analyses of the estimation effect,it is proved that the case deletion model is equivalent to the mean shift outlier model in Bayes estimation.Besides,Influence functions of the estimation are given.
Keywords:nonlinear model  measurement error  Bayes estimation  
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