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New Liu Estimators for the Poisson Regression Model: Method and Application

Author

Listed:
  • Månsson, Kristofer

    (Jönköping University)

  • Kibria, B. M. Golam

    (Florida International University)

  • Sjölander, Pär

    (Jönköping University)

  • Shukur, Ghazi

    (Linnaeus University)

Abstract

A new shrinkage estimator for the Poisson model is introduced in this paper. This method is a generalization of the Liu (1993) estimator originally developed for the linear regression model and will be generalised here to be used instead of the classical maximum likelihood (ML) method in the presence of multicollinearity since the mean squared error (MSE) of ML becomes inflated in that situation. Furthermore, this paper derives the optimal value of the shrinkage parameter and based on this value some methods of how the shrinkage parameter should be estimated are suggested. Using Monte Carlo simulation where the MSE and mean absolute error (MAE) are calculated it is shown that when the Liu estimator is applied with these proposed estimators of the shrinkage parameter it always outperforms the ML. Finally, an empirical application has been considered to illustrate the usefulness of the new Liu estimators.

Suggested Citation

  • Månsson, Kristofer & Kibria, B. M. Golam & Sjölander, Pär & Shukur, Ghazi, 2011. "New Liu Estimators for the Poisson Regression Model: Method and Application," HUI Working Papers 51, HUI Research.
    • Handle: RePEc:hhs:huiwps:0051
    as

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    References listed on IDEAS

    as
    1. Månsson, Kristofer & Shukur, Ghazi, 2011. "A Poisson ridge regression estimator," Economic Modelling, Elsevier, vol. 28(4), pages 1475-1481, July.
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    More about this item

    Keywords

    Estimation; MSE; MAE; Multicollinearity; Poisson; Liu; Simulation;
    All these keywords.

    JEL classification:

    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods

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