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A Monte Carlo Study of Recent Ridge Parameters

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Author Info
Alkhamisi, Mahdi A. (Department of Mathematics, Salahaddin University; Department of economics and Statistics, Jönköping University)
Shukur, Ghazi () (Centre for Labour Market Policy Research (CAFO))
Abstract

A number of procedures have been developed for finding biased estimators of regression parameters. One of these procedures is the ridge regression. In this paper, a new approach to obtain the ridge parameter (K) is suggested and then evaluated by Monte Carlo simulations. A large number of different models were investigated, where the number of observations, the strength of correlation between the explanatory variables and the distribution of the error terms have been varied. The mean squared of error (MSE) is used as criterion to examine the performance of the proposed estimators when compared with other well-known estimators. Under certain conditions, it is shown that at least one of the proposed estimators have a smaller (MSE) than the ordinary least squared estimator (OLS) and Hoerl and Kennard (1970a) estimator (HK).

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File URL: http://www.vxu.se/ehv/filer/forskning/cafo/wps/wps_1.pdf
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Publisher Info
Paper provided by Centre for Labour Market Policy Research (CAFO), School of Management and Economics, Växjö University in its series CAFO Working Papers with number 2006:1.

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Length: 32 pages
Date of creation: 01 Jan 2006
Date of revision:
Handle: RePEc:hhs:vxcafo:2006_001

Contact details of provider:
Postal: Centre for Labour Market Policy Research (CAFO), Dept of Economics and Statistics, School of Management and Economics, Växjö University, SE 351 95 Växjö, Sweden
Phone: +46 470 70 87 64
Web page: http://www.vxu.se/ehv/english/research/research_fields/cafo/
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Related research
Keywords: Multicollinearity; Ridge regression; Monte Carlo simulations;

Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation

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