Mathematical properties of the Kumaraswamy-Lindley distribution and its applications | Zendy

Hamdy M. Salem | Zendy; Abd-Elwahab Hagag | Zendy

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Mathematical properties of the Kumaraswamy-Lindley distribution and its applications

Author(s) -

Hamdy M. Salem,

Abd-Elwahab Hagag

Publication year - 2017

Publication title -

international journal of advanced statistics and probability

Language(s) - English

Resource type - Journals

ISSN - 2307-9045

DOI - 10.14419/ijasp.v5i1.7410

Subject(s) - mathematics , order statistic , quantile function , quantile , statistics , moment (physics) , distribution (mathematics) , function (biology) , moment generating function , probability density function , mathematical analysis , physics , classical mechanics , evolutionary biology , biology

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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