A new biased estimator in logistic regression model

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In this paper, the class logistic estimator which combines the ridge logistic and principal components logistic regression (PCLR) estimators is proposed. The comparisons of the class logistic, ridge logistic and PCLR estimators to the maximum likelihood (ML) estimator according to the asymptotic matrix mean square error (MSE) criterion and the comparisons of the class logistic estimator to the ML, PCLR and ridge logistic estimators in the sense of asymptotic scalar MSE criterion are done. The results are illustrated with numerical examples and a simulation study is done.