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Performance of some weighted Liu estimators for logit regression model: An application to Swedish accident data
Jönköping University, Jönköping International Business School, JIBS, Statistics.
Department of Mathematics and Statistics, Florida International University, Miami, FL, USA.
Jönköping University, Jönköping International Business School, JIBS, Statistics.
2015 (English)In: Communications in Statistics - Theory and Methods, ISSN 0361-0926, E-ISSN 1532-415X, Vol. 44, no 2, p. 363-375Article in journal (Refereed) Published
Abstract [en]

In this article, we propose some new estimators for the shrinkage parameter d of the weighted Liu estimator along with the traditional maximum likelihood (ML) estimator for the logit regression model. A simulation study has been conducted to compare the performance of the proposed estimators. The mean squared error is considered as a performance criteria. The average value and standard deviation of the shrinkage parameter d are investigated. In an application, we analyze the effect of usage of cars, motorcycles, and trucks on the probability that pedestrians are getting killed in different counties in Sweden. In the example, the benefits of using the weighted Liu estimator are shown. Both results from the simulation study and the empirical application show that all proposed shrinkage estimators outperform the ML estimator. The proposed D9 estimator performed best and it is recommended for practitioners.

Place, publisher, year, edition, pages
2015. Vol. 44, no 2, p. 363-375
Keywords [en]
Estimation, Liu estimator, Logit, MSE, Multicollinearity, Simulation, Primary 62J07, Secondary 62F10
National Category
Social Sciences
Identifiers
URN: urn:nbn:se:hj:diva-20144DOI: 10.1080/03610926.2012.745562ISI: 000349598100011Scopus ID: 2-s2.0-84919698542Local ID: IHHStatistikISOAI: oai:DiVA.org:hj-20144DiVA, id: diva2:580629
Available from: 2012-12-23 Created: 2012-12-23 Last updated: 2017-12-06Bibliographically approved

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Månsson, KristoferShukur, Ghazi

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
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  • vancouver
  • Other style
More styles
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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