Bayesian Estimation of Measurement Error Models with Longitudinal Data

被引:0
作者
Li, Dewang [1 ]
Qiu, Meilan [1 ]
机构
[1] Univ Huizhou, Sch Math & Big Data, Huizhou, Guangdong, Peoples R China
来源
PROCEEDINGS OF THE 2017 INTERNATIONAL CONFERENCE ON ELECTRONIC INDUSTRY AND AUTOMATION (EIA 2017) | 2017年 / 145卷
关键词
Bayesian; measurement error; longitudinal data; VARIABLES;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, Bayesian inferences for semiparametric measurement error models (MEs) for longitudinal data are investigated. A semiparametric Bayesian approach combining the stick-breaking prior and the Gibbs sampler together with the Metropolis-Hastings algorithm is developed for simulating observations from the posterior distributions and producing the joint Bayesian estimates of unknow parameters and measurement error. We obtain Bayesian estimations of parameters and covariates subject to MEs. Two simulation studies are presented to illustrate our proposed methodologies.
引用
收藏
页码:242 / 245
页数:4
相关论文
共 10 条
[1]  
Carroll R. J., 2006, MEASUREMENT ERROR MO
[2]  
Fuller W. A., 2009, Measurement error models
[3]   STOCHASTIC RELAXATION, GIBBS DISTRIBUTIONS, AND THE BAYESIAN RESTORATION OF IMAGES [J].
GEMAN, S ;
GEMAN, D .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1984, 6 (06) :721-741
[4]   Bayesian analysis of skew-t multivariate null intercept measurement error model [J].
Lachos, Victor H. ;
Cancho, Vicente G. ;
Aoki, Reiko .
STATISTICAL PAPERS, 2010, 51 (03) :531-545
[5]  
Liang H, 1999, ANN STAT, V27, P1519
[6]   Partially linear models with missing response variables and error-prone covariates [J].
Liang, Hua ;
Wang, Suojin ;
Carroll, Raymond J. .
BIOMETRIKA, 2007, 94 (01) :185-198
[7]   Semiparametric regression for clustered data using generalized estimating equations [J].
Lin, XH ;
Carroll, RJ .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2001, 96 (455) :1045-1056
[8]   Locally efficient estimators for semiparametric models with measurement error [J].
Ma, Yanyuan ;
Carroll, Raymond J. .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2006, 101 (476) :1465-1474
[9]   Estimation in Semiparametric Transition Measurement Error Models for Longitudinal Data [J].
Pan, Wenqin ;
Zeng, Donglin ;
Lin, Xihong .
BIOMETRICS, 2009, 65 (03) :728-736
[10]   Bias analysis and SIMEX approach in generalized linear mixed measurement error models [J].
Wang, NY ;
Lin, XH ;
Gutierrez, RG ;
Carroll, RJ .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1998, 93 (441) :249-261