Mathematical properties of the Kumaraswamy-Lindley distribution and its applications

  • Authors

    • Hamdy Salem Al-Azher University, Faculty of Commerce, Department of Statistics
    • Abd-Elwahab Hagag Al-Azher University, Faculty of Commerce, Department of Statistics
    2017-03-11
    https://doi.org/10.14419/ijasp.v5i1.7410
  • Kumaraswamy Distribution, Lindley Distribution, Maximum Likelihood Estimation, Hazard Function, Order Statistics.

  • In this paper, a composite distribution of Kumaraswamy and Lindley distributions namely, Kumaraswamy-Lindley Kum-L distribution is introduced and studied. The Kum-L distribution generalizes sub-models for some widely known distributions. Some mathematical properties of the Kum-L such as hazard function, quantile function, moments, moment generating function and order statistics are obtained. Estimation of parameters for the Kum-L using maximum likelihood estimation and least square estimation techniques are provided. To illustrate the usefulness of the proposed distribution, simulation study and real data example are used.

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