Mathematical properties of the Kumaraswamy-Lindley distribution and its applications
Abstract
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.
About this article
Keywords
- Kumaraswamy Distribution
- Lindley Distribution
- Maximum Likelihood Estimation
- Hazard Function
- Order Statistics.
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