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Characterizations of the Beta Kumaraswamy Exponential Distribution

Author

Listed:
  • 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)

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.

Suggested Citation

  • Zakeia A. Al-saiary & Rana A. Bakoban & Areej A. Al-zahrani, 2019. "Characterizations of the Beta Kumaraswamy Exponential Distribution," Mathematics, MDPI, vol. 8(1), pages 1-12, December.
    • Handle: RePEc:gam:jmathe:v:8:y:2019:i:1:p:23-:d:300422
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    References listed on IDEAS

    as
    1. Nadarajah, Saralees & Kotz, Samuel, 2006. "The beta exponential distribution," Reliability Engineering and System Safety, Elsevier, vol. 91(6), pages 689-697.
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