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Exponentiated Kumaraswamy Exponentiated Weibull distribution with application


Citation

Ibrahim, Noor Akma and Khaleel, Mundher Abdullah (2018) Exponentiated Kumaraswamy Exponentiated Weibull distribution with application. Jurnal KALAM: Karya Lorekan Asli Ahli Matematik, 11 (1). 15 - 22. ISSN 1985-5222

Abstract

In this article, a new distribution called the Exponentiated Kumaraswamy Exponentiated Weibull (EKEW) that extends the exponentiated Weibull distribution is derived and studied. The distribution has six parameters that can be expressed as a mixture of Exponentiated Weibull (EW) distribution. We obtain general explicit expression for the quantile function which can be used to find some essential measures, such as Bowleys skewness and Moors kurtosis. Furthermore, the quantile function can be used to generate data for simulation study. Several sub models are determined. The parameters are estimated by using the maximum likelihood method. The finite sample properties are assessed by using simulation study. A real dataset is used to demonstrate the potentiality and flexibility of EKEW distribution.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Pustaka Aman Press
Keywords: Quantile function; Sub models; Maximum likelihood estimation; Simulation
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 01 Aug 2022 20:05
Last Modified: 01 Aug 2022 20:05
URI: http://psasir.upm.edu.my/id/eprint/72683
Statistic Details: View Download Statistic

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