First-order r - d class estimator in binary logistic regression model

Özkale M. R., Arican E.

STATISTICS & PROBABILITY LETTERS, vol.106, pp.19-29, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 106
  • Publication Date: 2015
  • Doi Number: 10.1016/j.spl.2015.06.021
  • Journal Name: STATISTICS & PROBABILITY LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.19-29
  • Keywords: Binary logistic regression, Principal component logistic regression estimator, Liu logistic estimator, r - d class logistic estimator, PRINCIPAL COMPONENTS
  • Çukurova University Affiliated: Yes

Abstract

In order to combat multicollinearity, a new biased estimator in the logistic regression model is introduced by combining principal component and Liu logistic estimators. The properties of the new estimator are discussed and the choice of the shrinkage parameter is proposed. Finally, a simulation study is done to compare the estimators. (C) 2015 Elsevier B.V. All rights reserved.