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Consistent estimation of coefficients in measurement error models with replicated observations

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  • Shalabh

Abstract

For the estimation of coefficients in a measurement error model, the least squares method utilizing original observations and averaged observations over replications provides inconsistent estimators. Based on these, consistent estimators are formulated and asymptotic properties are analyzed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:jmvana:v:86:y:2003:i:2:p:227-241
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    References listed on IDEAS

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    1. Srivastava, Anil K. & Shalabh, 1997. "Consistent estimation for the non-normal ultrastructural model," Statistics & Probability Letters, Elsevier, vol. 34(1), pages 67-73, May.
    2. Srivastava, Anil K. & Shalabh, 1997. "Improved estimation of the slope parameter in a linear ultrastructural model when measurement errors are not necessarily normal," Journal of Econometrics, Elsevier, vol. 78(2), pages 153-157, June.
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    Citations

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    Cited by:

    1. 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.
    2. Bresson Georges & Chaturvedi Anoop & Rahman Mohammad Arshad & Shalabh, 2021. "Seemingly unrelated regression with measurement error: estimation via Markov Chain Monte Carlo and mean field variational Bayes approximation," The International Journal of Biostatistics, De Gruyter, vol. 17(1), pages 75-97, May.
    3. Sukhbir Singh & Kanchan Jain & Suresh Sharma, 2014. "Replicated measurement error model under exact linear restrictions," Statistical Papers, Springer, vol. 55(2), pages 253-274, May.
    4. 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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    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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