On the Kumaraswamy Kumaraswamy distribution

  • Authors

    • El-Sayed El-Sherpieny Issr Cairo university
    • Mohamed Ahmed Issr Cairo university
  • 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

    1. C. B. Arnold, N. Balakrishnan and H. N. Nagaraja. A first course in order statistics: John Wiley & Sons, Inc. New York, (1992).
    2. G. M. Cordeiroa and M. Castro. A new family of generalized distributions: Journal of Statistical Computation & Simulation. (2010), 1563-5163.
    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).
  • Downloads

  • 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