Characterizations of the Beta Kumaraswamy Exponential Distribution

Zakeia A. Al-saiary, Rana A. Bakoban and Areej A. Al-zahrani
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Zakeia A. Al-saiary: Department of Statistics, College of Science, University of Jeddah, Jeddah, Saudi Arabia
Rana A. Bakoban: Department of Statistics, College of Science, University of Jeddah, Jeddah, Saudi Arabia
Areej A. Al-zahrani: Department of Statistics, College of Science, University of Jeddah, Jeddah, Saudi Arabia

Mathematics, 2019, vol. 8, issue 1, 1-12

Abstract: In this article, the five-parameter beta Kumaraswamy exponential distribution (BKw-E) is introduced, and some characterizations of this distribution are obtained. The shape of the hazard function and some other important properties—such as median, mode, quantile function, and mean—are studied. In addition, the moments, skewness, and kurtosis are found. Furthermore, important measures such as Rényi entropy and order statistics are obtained; these have applications in many fields. An example of a real data set is discussed.

Keywords: beta Kumaraswamy exponential distribution; skewness; kurtosis; moments; Rényi entropy; order statistics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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