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

Mustafa Ç. Korkmaz, Emrah Altun, Morad Alizadeh and M. El-Morshedy
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Mustafa Ç. Korkmaz: Department of Measurement and Evaluation, Artvin Çoruh University, City Campus, 08000 Artvin, Turkey
Emrah Altun: Department of Mathematics, Bartin University, 74000 Bartin, Turkey
Morad Alizadeh: Department of Statistics, Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University, Bushehr 75169, Iran
M. El-Morshedy: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Mathematics, 2021, vol. 9, issue 21, 1-19

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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