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Estimating the Unrestricted and Restricted Liu Estimators for the Poisson Regression Model: Method and Application

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  • Kristofer Månsson

    (Jönköping University)

  • B. M. Golam Kibria

    (Florida International University)

Abstract

This paper considers both unrestricted and restricted Liu estimators in the presence of multicollinearity for the Poisson regression model. It also considers some new estimators of the shrinkage parameter for both unrestricted and restricted Liu estimators. Based on a simulation study and its empirical application, we found that the restricted estimator outperforms the unrestricted one. Further, the restricted Liu estimator also outperforms both the unrestricted Liu and restricted Liu estimators. Hence, this new method is a preferred option when the coefficient vector β may belong to a linear sub-space defined by Rβ = r.

Suggested Citation

  • Kristofer Månsson & B. M. Golam Kibria, 2021. "Estimating the Unrestricted and Restricted Liu Estimators for the Poisson Regression Model: Method and Application," Computational Economics, Springer;Society for Computational Economics, vol. 58(2), pages 311-326, August.
    • Handle: RePEc:kap:compec:v:58:y:2021:i:2:d:10.1007_s10614-020-10028-y
    DOI: 10.1007/s10614-020-10028-y
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    References listed on IDEAS

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    1. Cameron,A. Colin & Trivedi,Pravin K., 2013. "Regression Analysis of Count Data," Cambridge Books, Cambridge University Press, number 9781107667273, October.
    2. Kristofer Månsson & B.M. Golam Kibria & Ghazi Shukur, 2016. "A restricted Liu estimator for binary regression models and its application to an applied demand system," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(6), pages 1119-1127, May.
    3. Yalian Li & Hu Yang, 2010. "A new stochastic mixed ridge estimator in linear regression model," Statistical Papers, Springer, vol. 51(2), pages 315-323, June.
    4. Hu Yang & Jianwen Xu, 2009. "An alternative stochastic restricted Liu estimator in linear regression," Statistical Papers, Springer, vol. 50(3), pages 639-647, June.
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