Advances and Applications in Statistics
Volume 48, Issue 3, Pages 205 - 239
(March 2016) http://dx.doi.org/10.17654/AS048030205 |
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KUMARASWAMY WEIBULL-GENERATED FAMILY OF DISTRIBUTIONS WITH APPLICATIONS
Amal S. Hassan and M. Elgarhy
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Abstract: In this paper, we introduce and study a new family of continuous distributions called Kumaraswamy Weibull-generated family of distributions which is an extension of the Weibull-G family of distributions proposed by Bourguignon in [3]. The new family includes several known models. We obtain general explicit expressions for the quantile function, moments, probability weighted moments, generating function, mean deviation and order statistics. Making use of maximum likelihood method, we discuss the model parameters. Furthermore, besides showing the usefulness of our proposed family of distributions by considering a three real data set, evidence of this family to outperform other classes of lifetime models has been noticed. |
Keywords and phrases: Kumaraswamy Weibull distribution, Weibull-G family, moments, order statistics, maximum likelihood estimation. |
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