Open AccessMathematical 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.