WLreg: A new re-parametrization of the Weighted Lindley distribution and its regression model

Emrah Altun, Christophe Chesneau and Hana N Alqifari

PLOS ONE, 2025, vol. 20, issue 6, 1-15

Abstract: A novel re-parametrization of the weighted Lindley distribution is introduced to develop a regression model suitable for skewed dependent variables defined on ℝ+. This new model is called the WL2 regression model. It is shown to outperform existing models such as the gamma, extended gamma, and Maxwell-Boltzmann-exponential regression models. Parameter estimation is performed using the maximum likelihood estimation technique, and the efficiency of these estimates is assessed through a simulation study. An application to a house price data set is presented to highlight the importance of the WL2 regression model. In addition, we propose the WLreg software, accessible via https://bartinuni.shinyapps.io/WLreg, to facilitate the application of the new regression model for practitioners in the field.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0324005

DOI: 10.1371/journal.pone.0324005

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