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On the restricted almost unbiased Liu estimator in the logistic regression model

Author

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  • Jibo Wu
  • Yasin Asar
  • Mohammad Arashi

Abstract

It is known that when the multicollinearity exists in the logistic regression model, variance of maximum likelihood estimator is unstable. As a remedy, in the context of biased shrinkage Liu estimation, Chang introduced an almost unbiased Liu estimator in the logistic regression model. Making use of his approach, when some prior knowledge in the form of linear restrictions are also available, we introduce a restricted almost unbiased Liu estimator in the logistic regression model. Statistical properties of this newly defined estimator are derived and some comparison results are also provided in the form of theorems. A Monte Carlo simulation study along with a real data example are given to investigate the performance of this estimator.

Suggested Citation

  • Jibo Wu & Yasin Asar & Mohammad Arashi, 2018. "On the restricted almost unbiased Liu estimator in the logistic regression model," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(18), pages 4389-4401, September.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:18:p:4389-4401
    DOI: 10.1080/03610926.2017.1376082
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