On the Kumaraswamy Kumaraswamy distribution

  • Authors

    • El-Sayed El-Sherpieny Issr Cairo university
    • Mohamed Ahmed Issr Cairo university
    2014-09-10
    https://doi.org/10.14419/ijbas.v3i4.3182

  • Abstract

    In this paper, new distribution so called the Kumaraswamy – Kumaraswamy (KW-KW) distribution, as a Special model from the class of Kumaraswamy Generalized (KW-G) distributions, is introduced. the probability density function (pdf), the cumulative distribution function (cdf), moments, quantiles, the median, the mode, the mean deviation, the entropy, order statistics, L-moments and parameters estimation based on maximum likelihood are obtained. A numerical illustration is used to studying the properties of the parameters.

    Keywords: Kumaraswamy Generalized Distributions, Moments, Order Statistics, L-Moments, Entropy, Maximum Likelihood Estimation.

  • References

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    3. G. M. Cordeiroa, A. J. lemonte and W. B. Souza. The exponentiated Kumaraswamy distribution and its log-transform: Brazilian Journal of Probability and Statistics. v. 27, (2013), n.1.
    4. J. R. M. Hosking. L moments: analysis and estimation of distribution using linear combination of order statistic, J. R. Statist.soc.B52, (1990). No.1 105-124.
    5. A. P. Prudnikov, Yu. A. Brychkov and O. I.Marichev. Integrals and Series, Vol. 3, Gordon and Breach Science Publishers, Amsterdam, (1986).

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  • How to Cite

    El-Sherpieny, E.-S., & Ahmed, M. (2014). On the Kumaraswamy Kumaraswamy distribution. International Journal of Basic and Applied Sciences, 3(4), 372-381. https://doi.org/10.14419/ijbas.v3i4.3182

    Received date: 2014-07-15

    Accepted date: 2014-08-10

    Published date: 2014-09-10