New Liu Estimators for the Poisson Regression Model: Method and Application
AbstractA 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by HUI Research in its series HUI Working Papers with number 51.
Length: 11 pages
Date of creation: 30 Jun 2011
Date of revision:
Contact details of provider:
Postal: HUI Research, Regeringsgatan 60, 103 29 Stockholm, Sweden
Phone: +46 (0)8 762 72 80
Fax: +46 (0)8 679 76 06
Web page: http://www.hui.se/
More information through EDIRC
Estimation; MSE; MAE; Multicollinearity; Poisson; Liu; Simulation;
Find related papers by JEL classification:
- C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-07-27 (All new papers)
- NEP-ECM-2011-07-27 (Econometrics)
- NEP-ORE-2011-07-27 (Operations Research)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Månsson, Kristofer & Shukur, Ghazi, 2011.
"A Poisson ridge regression estimator,"
Elsevier, vol. 28(4), pages 1475-1481, July.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Helena Nilsson).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.