The log exponential-power distribution: Properties, estimations and quantile regression model

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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.

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Korkmaz, M., Altun, E., Alizadeh, M., & El-Morshedy, M. (2021). The log exponential-power distribution: Properties, estimations and quantile regression model. Mathematics, 9(21). https://doi.org/10.3390/math9212634

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