The Log Exponential-Power Distribution: Properties, Estimations and Quantile Regression Model

Abstract

Recently, bounded distributions have attracted attention. These distributions are frequently used in modeling rate and proportion data sets. In this study, a new alternative model is proposed for modeling bounded data sets. Parameter estimations of the proposed distribution are obtained via maximum likelihood method. In addition, a new regression model is defined under the proposed distribution and its residual analysis is examined. As a result of the empirical studies on real data sets, it is observed that the proposed regression model gives better results than the unit-Weibull and Kumaraswamy regression models.

Keywords

• exponential-power distribution
• point estimation
• quantile regression
• residuals
• unit exponential-power distribution