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The Kumaraswamy Log Composite Distribution Based on the Median: Inference and Applications

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  • Daniel G´alvez

Abstract

In this paper a new univariate distribution with bounded support on the Kumaraswamy distribution is defined. Some of its main properties are studied, and a Monte Carlo simulation is implemented to evaluate the behavior of the maximum likelihood estimators. Two applications to real data sets are presented. In particular goodness of fit and quantile regression are show in order to illustrate the potential and flexibility of this new distribution.

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  • Daniel G´alvez, 2025. "The Kumaraswamy Log Composite Distribution Based on the Median: Inference and Applications," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 14(1), pages 1-37, April.
    • Handle: RePEc:ibn:ijspjl:v:14:y:2025:i:1:p:37
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    References listed on IDEAS

    as
    1. Pablo Mitnik & Sunyoung Baek, 2013. "The Kumaraswamy distribution: median-dispersion re-parameterizations for regression modeling and simulation-based estimation," Statistical Papers, Springer, vol. 54(1), pages 177-192, February.
    2. McDonald, James B. & Xu, Yexiao J., 1995. "A generalization of the beta distribution with applications," Journal of Econometrics, Elsevier, vol. 69(2), pages 427-428, October.
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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