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Mixed model prediction and small area estimation


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  • Jiming Jiang


  • P. Lahiri
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    Article provided by Springer in its journal TEST.

    Volume (Year): 15 (2006)
    Issue (Month): 1 (June)
    Pages: 1-96

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    Handle: RePEc:spr:testjl:v:15:y:2006:i:1:p:1-96

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    Keywords: Benchmarking; borrowing strength; design-consistency; mean squared errors; empirical Bayes; EBLUP; generalized linear mixed models; higher order asymptotics; resampling methods; sample surveys; variance components; 62C12; 62C25; 62G09; 62D05; 62F11; 62F15;

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    1. Li, Tong & Vuong, Quang, 1998. "Nonparametric Estimation of the Measurement Error Model Using Multiple Indicators," Journal of Multivariate Analysis, Elsevier, vol. 65(2), pages 139-165, May.
    2. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March.
    3. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    4. Gauri Sankar Datta & J. N. K. Rao & David Daniel Smith, 2005. "On measuring the variability of small area estimators under a basic area level model," Biometrika, Biometrika Trust, vol. 92(1), pages 183-196, March.
    5. A. Chaudhuri, 1994. "Small domain statistics: a review," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 48(3), pages 215-236, November.
    6. Li-Chun Zhang & Raymond L. Chambers, 2004. "Small area estimates for cross-classifications," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(2), pages 479-496.
    7. M. A. Black, 2004. "A note on the adaptive control of false discovery rates," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(2), pages 297-304.
    8. Song, Peter X.K. & Fan, Yanqin & Kalbfleisch, John D., 2005. "Maximization by Parts in Likelihood Inference," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 1145-1158, December.
    9. Heyde, C. C., 1994. "A quasi-likelihood approach to the REML estimating equations," Statistics & Probability Letters, Elsevier, vol. 21(5), pages 381-384, December.
    10. Danny Pfeffermann & Richard Tiller, 2005. "Bootstrap Approximation to Prediction MSE for State-Space Models with Estimated Parameters," Journal of Time Series Analysis, Wiley Blackwell, vol. 26(6), pages 893-916, November.
    11. Basu, Ruma & Ghosh, J. K. & Mukerjee, Rahul, 2003. "Empirical Bayes prediction intervals in a normal regression model: higher order asymptotics," Statistics & Probability Letters, Elsevier, vol. 63(2), pages 197-203, June.
    12. Jiming Jiang & P. Lahiri, 2001. "Empirical Best Prediction for Small Area Inference with Binary Data," Annals of the Institute of Statistical Mathematics, Springer, vol. 53(2), pages 217-243, June.
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    Cited by:
    1. Yoshimori, Masayo & Lahiri, Partha, 2014. "A new adjusted maximum likelihood method for the Fay–Herriot small area model," Journal of Multivariate Analysis, Elsevier, vol. 124(C), pages 281-294.
    2. David Swanson & George Hough, 2012. "An Evaluation of Persons per Household (PPH) Estimates Generated by the American Community Survey: A Demographic Perspective," Population Research and Policy Review, Springer, vol. 31(2), pages 235-266, April.
    3. Sedeño-Noda, A. & González-Dávila, E. & González-Martín, C. & González-Yanes, A., 2009. "Preemptive benchmarking problem: An approach for official statistics in small areas," European Journal of Operational Research, Elsevier, vol. 196(1), pages 360-369, July.
    4. Ralf Münnich & Jan Burgard & Martin Vogt, 2013. "Small Area-Statistik: Methoden und Anwendungen," AStA Wirtschafts- und Sozialstatistisches Archiv, Springer, vol. 6(3), pages 149-191, March.
    5. Isabel Molina, 2006. "Uncertainty Under A Multivariate Nested-Error Regression Model With Logarithmic Transformation," Statistics and Econometrics Working Papers ws066117, Universidad Carlos III, Departamento de Estadística y Econometría.
    6. Timo Schmid & Ralf Münnich, 2014. "Spatial robust small area estimation," Statistical Papers, Springer, vol. 55(3), pages 653-670, August.
    7. Gräb, J. & Grimm, M., 2009. "Spatial inequalities explained: evidence from Burkina Faso," ISS Working Papers - General Series 18725, International Institute of Social Studies of Erasmus University Rotterdam (ISS), The Hague.
    8. Luis Pereira & Pedro Coelho, 2013. "Estimation of house prices in regions with small sample sizes," The Annals of Regional Science, Springer, vol. 50(2), pages 603-621, April.
    9. M. Ugarte & A. Militino & T. Goicoa, 2009. "Benchmarked estimates in small areas using linear mixed models with restrictions," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 18(2), pages 342-364, August.
    10. Tamura, Karin Ayumi & Giampaoli, Viviana, 2013. "New prediction method for the mixed logistic model applied in a marketing problem," Computational Statistics & Data Analysis, Elsevier, vol. 66(C), pages 202-216.
    11. Swamy, P.A.V.B. & Mehta, Jatinder S. & Chang, I-Lok & Zimmerman, T.S., 2009. "An efficient method of estimating the true value of a population characteristic from its discrepant estimates," Computational Statistics & Data Analysis, Elsevier, vol. 53(6), pages 2378-2389, April.
    12. B. Liu, 2008. "Accounting for interviewer variability in small area estimation," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 253-262.
    13. Molina, Isabel, 2009. "Uncertainty under a multivariate nested-error regression model with logarithmic transformation," Journal of Multivariate Analysis, Elsevier, vol. 100(5), pages 963-980, May.
    14. Marhuenda, Yolanda & Morales, Domingo & del Carmen Pardo, María, 2014. "Information criteria for Fay–Herriot model selection," Computational Statistics & Data Analysis, Elsevier, vol. 70(C), pages 268-280.


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