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

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.

Keywords:

• Weighted-exponential
• method of moments
• residual analysis
• beta regression

Mathematics Subject Classification:

• 62E15