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Optimal Generalized Biased Estimator in Linear Regression Model

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DOI: 10.4236/ojs.2015.55042    2,313 Downloads   2,966 Views   Citations

ABSTRACT

The paper introduces a new biased estimator namely Generalized Optimal Estimator (GOE) in a multiple linear regression when there exists multicollinearity among predictor variables. Stochastic properties of proposed estimator were derived, and the proposed estimator was compared with other existing biased estimators based on sample information in the the Scalar Mean Square Error (SMSE) criterion by using a Monte Carlo simulation study and two numerical illustrations.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Arumairajan, S. and Wijekoon, P. (2015) Optimal Generalized Biased Estimator in Linear Regression Model. Open Journal of Statistics, 5, 403-411. doi: 10.4236/ojs.2015.55042.

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