Empirical Bayes Estimation of Small Area Means under a Nested Error Linear Regression Model with Measurement Errors in the Covariates

Scandinavian Journal of Statistics ◽

10.1111/j.1467-9469.2008.00623.x ◽

2009 ◽

Vol 36 (2) ◽

pp. 355-369 ◽

Author(s):

MAHMOUD TORABI ◽

GAURI S. DATTA ◽

J. N. K. RAO

Keyword(s):

Linear Regression ◽

Regression Model ◽

Linear Regression Model ◽

Measurement Errors ◽

Empirical Bayes ◽

Bayes Estimation ◽

Empirical Bayes Estimation

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Pseudo-empirical Bayes estimation of small area means under a nested error linear regression model with functional measurement errors

Journal of Statistical Planning and Inference ◽

10.1016/j.jspi.2010.03.046 ◽

2010 ◽

Vol 140 (11) ◽

pp. 2952-2962 ◽

Author(s):

Gauri S. Datta ◽

J.N.K. Rao ◽

Mahmoud Torabi

Keyword(s):

Linear Regression ◽

Regression Model ◽

Linear Regression Model ◽

Measurement Errors ◽

Empirical Bayes ◽

Bayes Estimation ◽

Empirical Bayes Estimation ◽

Functional Measurement

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EMPIRICAL BAYES ESTIMATION FOR ESTIMABLE FUNCTION OF REGRESSION COEFFICIENT IN A MULTIPLE LINEAR REGRESSION MODEL

Acta Mathematica Scientia ◽

10.1016/s0252-9602(17)30814-7 ◽

1996 ◽

Vol 16 ◽

pp. 22-33 ◽

Author(s):

Laisheng Wei

Keyword(s):

Linear Regression ◽

Regression Model ◽

Multiple Linear Regression ◽

Linear Regression Model ◽

Empirical Bayes ◽

Regression Coefficient ◽

Multiple Linear Regression Model ◽

Bayes Estimation ◽

Empirical Bayes Estimation

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Empirical Bayes estimation in a multiple linear regression model

Annals of the Institute of Statistical Mathematics ◽

10.1007/bf02481081 ◽

1985 ◽

Vol 37 (1) ◽

pp. 71-86 ◽

Author(s):

R. S. Singh

Keyword(s):

Linear Regression ◽

Regression Model ◽

Multiple Linear Regression ◽

Linear Regression Model ◽

Empirical Bayes ◽

Multiple Linear Regression Model ◽

Bayes Estimation ◽

Empirical Bayes Estimation

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The convergence rates of empirical Bayes estimation in a multiple linear regression model

Annals of the Institute of Statistical Mathematics ◽

10.1007/bf00773413 ◽

1995 ◽

Vol 47 (1) ◽

pp. 81-97 ◽

Author(s):

Laisheng Wei ◽

Shunpu Zhang

Keyword(s):

Linear Regression ◽

Regression Model ◽

Multiple Linear Regression ◽

Linear Regression Model ◽

Empirical Bayes ◽

Convergence Rates ◽

Multiple Linear Regression Model ◽

Bayes Estimation ◽

Empirical Bayes Estimation

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The asymptotically optimal empirical bayes estimation in multiple linear regression model

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/bf02663774 ◽

1994 ◽

Vol 9 (3) ◽

pp. 245-258 ◽

Author(s):

Zhang Shunpu ◽

Wei Laisheng

Keyword(s):

Linear Regression ◽

Regression Model ◽

Multiple Linear Regression ◽

Linear Regression Model ◽

Empirical Bayes ◽

Multiple Linear Regression Model ◽

Bayes Estimation ◽

Empirical Bayes Estimation ◽

Asymptotically Optimal

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Pseudo-empirical Bayes estimation of small area means based on James-Stein estimation in linear regression models with functional measurement error

Canadian Journal of Statistics ◽

10.1002/cjs.11245 ◽

2015 ◽

Vol 43 (2) ◽

pp. 265-287 ◽

Author(s):

Elaheh Torkashvand ◽

Mohammad Jafari Jozani ◽

Mahmoud Torabi

Keyword(s):

Measurement Error ◽

Linear Regression ◽

Regression Models ◽

Empirical Bayes ◽

Bayes Estimation ◽

Linear Regression Models ◽

Empirical Bayes Estimation ◽

Functional Measurement ◽

Stein Estimation

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Small area estimation using survey weights under a nested error linear regression model with structural measurement error

Journal of Multivariate Analysis ◽

10.1016/j.jmva.2012.02.015 ◽

2012 ◽

Vol 109 ◽

pp. 52-60 ◽

Author(s):

Mahmoud Torabi

Keyword(s):

Measurement Error ◽

Linear Regression ◽

Regression Model ◽

Linear Regression Model ◽

Small Area Estimation ◽

Area Estimation

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Parametric empirical Bayes estimation for a class of extended log-linear regression models

Environmetrics ◽

10.1002/(sici)1099-095x(200005/06)11:3<271::aid-env407>3.0.co;2-t ◽

2000 ◽

Vol 11 (3) ◽

pp. 271-285

Author(s):

Wanzhu Tu ◽

Walter W. Piegorsch

Keyword(s):

Linear Regression ◽

Regression Models ◽

Empirical Bayes ◽

Bayes Estimation ◽

Linear Regression Models ◽

Empirical Bayes Estimation ◽

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Estimation of mean squared error of model-based estimators of small area means under a nested error linear regression model

Journal of Multivariate Analysis ◽

10.1016/j.jmva.2013.02.008 ◽

2013 ◽

Vol 117 ◽

pp. 76-87 ◽

Author(s):

Mahmoud Torabi ◽

J.N.K. Rao

Keyword(s):

Linear Regression ◽

Regression Model ◽

Linear Regression Model ◽

Mean Squared Error ◽

Model Based ◽

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A Geostatistical Linear Regression Model for Small Area Data. 一种适用于小区域数据的地统计线性回归模型

Geographical Analysis ◽

10.1111/j.1538-4632.2010.00807.x ◽

2011 ◽

Vol 43 (1) ◽

pp. 38-60 ◽

Author(s):

Nicholas N. Nagle ◽

Stuart H. Sweeney ◽

Phaedon C. Kyriakidis

Keyword(s):

Linear Regression ◽

Regression Model ◽

Linear Regression Model ◽

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