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

By Emrah Altun. Communications in Statistics - Theory and Methods, 2019

68 citations recorded by the source corpus.

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.

Subfields: Safety, Risk, Reliability and Quality, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/74c58e312db2b236b0fbc53257622cc0c962c96f

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In Safety, Risk, Reliability and Quality

1. Mohammed Elgarhy
2. Rashad A. R. Bantan
3. Christophe Chesneau
4. Farrukh Jamal

In Statistics and Probability

1. Farrukh Jamal
2. Christophe Chesneau
3. Mohammed Elgarhy
4. Rashad A. R. Bantan

Citations in the corpus

• Theory and Applications of the Unit Gamma/Gompertz Distribution (2021, methodology): “based on the standard gamma distribution, log-Lindley distribution established by [3] and based on the Lindley distribution, unit Weibull distribution examined by [4,5] and using the Weibull distribution, unit Gompertz distribution developed by [6] and based on the Gompertz distribution, unit Burr-X”