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Performance of a New Restricted Biased Estimator in Logistic Regression

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dc.creator ASAR, Yasin
dc.date 2018-04-16T00:00:00Z
dc.date.accessioned 2019-07-09T11:58:50Z
dc.date.available 2019-07-09T11:58:50Z
dc.identifier http://dergipark.org.tr/sdufenbed/issue/37055/425667
dc.identifier 10.19113/sdufbed.71595
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/45991
dc.description It is known that the variance of the maximum likelihood estimator (MLE) inflates when the explanatory variables are correlated. This situation is called the multicollinearity problem. As a result, the estimations of the model may not be trustful. Therefore, this paper introduces a new restricted estimator (RLTE) that may be applied to get rid of the multicollinearity when the parameters lie in some linear subspace  in logistic regression. The mean squared errors (MSE) and the matrix mean squared errors (MMSE) of the estimators considered in this paper are given. A Monte Carlo experiment is designed to evaluate the performances of the proposed estimator, the restricted MLE (RMLE), MLE and Liu-type estimator (LTE). The criterion of performance is chosen to be MSE. Moreover, a real data example is presented. According to the results, proposed estimator has better performance than MLE, RMLE and LTE.
dc.format application/pdf
dc.publisher Süleyman Demirel University
dc.publisher Süleyman Demirel Üniversitesi
dc.relation http://dergipark.org.tr/download/article-file/475611
dc.source Volume: 22, Issue: 1 53-59 en-US
dc.source 1308-6529
dc.subject Estimation,Liu-type estimator; MLE; MSE; Multicollinearity; Monte Carlo simulation
dc.title Performance of a New Restricted Biased Estimator in Logistic Regression en-US
dc.type info:eu-repo/semantics/article


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