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Using stochastic prior information in consistent estimation of regression coefficients in replicated measurement error model

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  • Singh, Sukhbir
  • Jain, Kanchan
  • Sharma, Suresh

Abstract

A replicated ultrastructural measurement error regression model is considered where both predictor and response variables are observed with error. Availability of some prior information regarding regression coefficients in the form of stochastic linear restrictions is assumed. Using this prior information, three classes of consistent estimators of regression coefficients are proposed. A two-stage procedure is discussed to obtain feasible version of these Stochastically Restricted estimators. The asymptotic properties of the proposed estimators are studied. No distributional assumption is imposed on any random component of the model. Monte Carlo simulations study is performed to assess the effect of sample size, replicates and non-normality on the estimators. The methods are illustrated using real economic data.

Suggested Citation

  • Singh, Sukhbir & Jain, Kanchan & Sharma, Suresh, 2012. "Using stochastic prior information in consistent estimation of regression coefficients in replicated measurement error model," Journal of Multivariate Analysis, Elsevier, vol. 111(C), pages 198-212.
    • Handle: RePEc:eee:jmvana:v:111:y:2012:i:c:p:198-212
    DOI: 10.1016/j.jmva.2012.04.013
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    1. Chi-Lun Cheng & Alexander Kukush, 2006. "Non-Existence of the First Moment of the Adjusted Least Squares Estimator in Multivariate Errors-in-Variables Model," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 64(1), pages 41-46, August.
    2. Chan, Lai K. & Mak, Tak K., 1979. "On the Maximum Likelihood estimation of a linear structural relationship when the intercept is known," Journal of Multivariate Analysis, Elsevier, vol. 9(2), pages 304-313, June.
    3. Josef Brada & Ali Kutan & Su Zhou, 1997. "The exchange rate and the balance of trade: The Turkish experience," Journal of Development Studies, Taylor & Francis Journals, vol. 33(5), pages 675-692.
    4. Klepper, Steven & Leamer, Edward E, 1984. "Consistent Sets of Estimates for Regressions with Errors in All Variables," Econometrica, Econometric Society, vol. 52(1), pages 163-183, January.
    5. Shalabh, 2003. "Consistent estimation of coefficients in measurement error models with replicated observations," Journal of Multivariate Analysis, Elsevier, vol. 86(2), pages 227-241, August.
    6. Buzas, J. S. & Stefanski, L. A., 1996. "A note on corrected-score estimation," Statistics & Probability Letters, Elsevier, vol. 28(1), pages 1-8, June.
    7. Aman Ullah & Shalabh & Debasri Mukherjee, 2001. "Consistent Estimation of Regression Coefficients in Replicated Data with Non-Normal Measurement Errors," Annals of Economics and Finance, Society for AEF, vol. 2(1), pages 249-264, May.
    8. Jain, Kanchan & Singh, Sukhbir & Sharma, Suresh, 2011. "Restricted estimation in multivariate measurement error regression model," Journal of Multivariate Analysis, Elsevier, vol. 102(2), pages 264-280, February.
    9. Hassan Shirvani & Barry Wilbratte, 1997. "The Relationship Between The Real Exchange Rate and The Trade Balance: An Empirical Reassessment," International Economic Journal, Taylor & Francis Journals, vol. 11(1), pages 39-50.
    10. Gleser, Leon Jay, 1993. "Estimators of slopes in linear errors-invariables regression models when the predictors have known reliability matrix," Statistics & Probability Letters, Elsevier, vol. 17(2), pages 113-121, May.
    11. Chiu, Yi-Bin & Lee, Chien-Chiang & Sun, Chia-Hung, 2010. "The U.S. trade imbalance and real exchange rate: An application of the heterogeneous panel cointegration method," Economic Modelling, Elsevier, vol. 27(3), pages 705-716, May.
    12. Haupt, Harry & Oberhofer, Walter, 2005. "Stochastic response restrictions," Journal of Multivariate Analysis, Elsevier, vol. 95(1), pages 66-75, July.
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    Cited by:

    1. Cheng, C.-L. & Shalabh, & Garg, G., 2016. "Goodness of fit in restricted measurement error models," Journal of Multivariate Analysis, Elsevier, vol. 145(C), pages 101-116.

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