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The log-weighted exponential regression model: alternative to the beta regression model

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  • Emrah Altun

Abstract

In this paper, we introduce a new two-parameter distribution, called log-weighted exponential (log-WE) distribution, defined on the unit interval. Some of the statistical properties of the proposed distribution including moments, incomplete moments and mean residual life function are obtained. The maximum likelihood, method of moments, least squares and weighted least squares estimation methods are used to estimate unknown parameters of the proposed model and finite sample performance of estimation methods are evaluated through Monte-Carlo simulation study. Moreover, a new regression model as an alternative to the beta regression model is introduced.

Suggested Citation

  • Emrah Altun, 2021. "The log-weighted exponential regression model: alternative to the beta regression model," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(10), pages 2306-2321, May.
    • Handle: RePEc:taf:lstaxx:v:50:y:2021:i:10:p:2306-2321
    DOI: 10.1080/03610926.2019.1664586
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    Cited by:

    1. M S Eliwa & Emrah Altun & Ziyad Ali Alhussain & Essam A Ahmed & Mukhtar M Salah & Hanan Haj Ahmed & M El-Morshedy, 2021. "A new one-parameter lifetime distribution and its regression model with applications," PLOS ONE, Public Library of Science, vol. 16(2), pages 1-19, February.
    2. Mustafa Ç. Korkmaz & Emrah Altun & Morad Alizadeh & M. El-Morshedy, 2021. "The Log Exponential-Power Distribution: Properties, Estimations and Quantile Regression Model," Mathematics, MDPI, vol. 9(21), pages 1-19, October.
    3. Francesca Condino & Filippo Domma, 2023. "Unit Distributions: A General Framework, Some Special Cases, and the Regression Unit-Dagum Models," Mathematics, MDPI, vol. 11(13), pages 1-25, June.
    4. Fábio Prataviera & Aline Martineli Batista & Edwin M. M. Ortega & Gauss M. Cordeiro & Bruno Montoani Silva, 2023. "The Logit Exponentiated Power Exponential Regression with Applications," Annals of Data Science, Springer, vol. 10(3), pages 713-735, June.
    5. Rashad A. R. Bantan & Farrukh Jamal & Christophe Chesneau & Mohammed Elgarhy, 2021. "Theory and Applications of the Unit Gamma/Gompertz Distribution," Mathematics, MDPI, vol. 9(16), pages 1-22, August.

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