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A Liu estimator for the beta regression model and its application to chemical data
Linnaeus University, School of Business and Economics, Department of Economics and Statistics.ORCID iD: 0000-0002-3623-5034
Jönköping University, Sweden.
Florida International University, USA.
2020 (English)In: Journal of Chemometrics, ISSN 0886-9383, E-ISSN 1099-128X, Vol. 34, no 10, p. 1-16, article id e3300Article in journal (Refereed) Published
Abstract [en]

Abstract Beta regression has become a popular tool for performing regression analysis on chemical, environmental, or biological data in which the dependent variable is restricted to the interval [0, 1]. For the first time, in this paper, we propose a Liu estimator for the beta regression model with fixed dispersion parameter that may be used in several realistic situations when the degree of correlation among the regressors differs. First, we show analytically that the new estimator outperforms the maximum likelihood estimator (MLE) using the mean square error (MSE) criteria. Second, using a 'simulation study, we investigate the properties in finite samples of six different suggested estimators of the shrinkage parameter and compare it with the MLE. The simulation results indicate that in the presence of multicollinearity, the Liu estimator outperforms the MLE uniformly. Finally, using an empirical application on chemical data, we show the benefit of the new approach to applied researchers.

Place, publisher, year, edition, pages
John Wiley & Sons, 2020. Vol. 34, no 10, p. 1-16, article id e3300
Keywords [en]
beta regression, Liu estimator, Monte Carlo methods, multicollinearity, relative MSE
National Category
Probability Theory and Statistics
Research subject
Statistics/Econometrics
Identifiers
URN: urn:nbn:se:lnu:diva-98092DOI: 10.1002/cem.3300ISI: 000566740600001Scopus ID: 2-s2.0-85090311782OAI: oai:DiVA.org:lnu-98092DiVA, id: diva2:1468202
Available from: 2020-09-17 Created: 2020-09-17 Last updated: 2021-05-06Bibliographically approved

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Karlsson, Peter S.

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf