A new biased estimator based on ridge estimation |
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Authors: | Sadullah Sakallıoğlu Selahattin Kaçıranlar |
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Institution: | 1.Faculty Science and Letters, Department of Statistics,?ukurova University,Adana,Turkey |
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Abstract: | In this paper we introduce a new biased estimator for the vector of parameters in a linear regression model and discuss its
properties. We show that our new biased estimator is superior, in the mean square error(mse) sense, to the ordinary least
squares (OLS) estimator, the ordinary ridge regression (ORR) estimator and the Liu estimator. We also compare the performance
of our new biased estimator with two other special Liu-type estimators proposed in Liu (2003). We illustrate our findings
with a numerical example based on the widely analysed dataset on Portland cement. |
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Keywords: | Biased regression Mean squared error Multicollinearity Ridge regression Liu estimator |
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