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Year 2016, Volume: 45 Issue: 4, 1203 - 1229, 01.08.2016

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The Kumaraswamy exponential-Weibull distribution: theory and applications

Year 2016, Volume: 45 Issue: 4, 1203 - 1229, 01.08.2016

Abstract

Signicant progress has been made towards the generalization of some
wellknown lifetime models, which have been successfully applied to
problems arising in several areas of research. In this paper, some prop-
erties of the new Kumaraswamy exponential-Weibull (KwEW) distribu-
tion are provided. This distribution generalizes a number of well-known
special lifetime models such as the Weibull, exponential, Rayleigh, mod-
ied Rayleigh, modied exponential and exponentiated Weibull dis-
tributions, among others. The beauty and importance of the new
distribution lies in its ability to model monotone and non-monotone
failure rate functions, which are quite common in environmental stud-
ies. We derive some basic properties of the KwEW distribution in-
cluding ordinary and incomplete moments, skewness, kurtosis, quantile
and generating functions, mean deviations and Shannon entropy. The
method of maximum likelihood and a Bayesian procedure are used for
estimating the model parameters. By means of a real lifetime data
set, we prove that the new distribution provides a better t than the
Kumaraswamy Weibull, Marshall-Olkin exponential-Weibull, extended
Weibull, exponential-Weibull and Weibull models. The application in-
dicates that the proposed model can give better ts than other well-
known lifetime distributions.

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There are 2 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Statistics
Authors

Gauss M. Cordeiro

Abdus Saboor

Muhammad Nauman Khan This is me

Gamze Ozel

Marcelino A.r. Pascoa This is me

Publication Date August 1, 2016
Published in Issue Year 2016 Volume: 45 Issue: 4

Cite

APA Cordeiro, G. M., Saboor, A., Khan, M. N., Ozel, G., et al. (2016). The Kumaraswamy exponential-Weibull distribution: theory and applications. Hacettepe Journal of Mathematics and Statistics, 45(4), 1203-1229.
AMA Cordeiro GM, Saboor A, Khan MN, Ozel G, Pascoa MA. The Kumaraswamy exponential-Weibull distribution: theory and applications. Hacettepe Journal of Mathematics and Statistics. August 2016;45(4):1203-1229.
Chicago Cordeiro, Gauss M., Abdus Saboor, Muhammad Nauman Khan, Gamze Ozel, and Marcelino A.r. Pascoa. “The Kumaraswamy Exponential-Weibull Distribution: Theory and Applications”. Hacettepe Journal of Mathematics and Statistics 45, no. 4 (August 2016): 1203-29.
EndNote Cordeiro GM, Saboor A, Khan MN, Ozel G, Pascoa MA (August 1, 2016) The Kumaraswamy exponential-Weibull distribution: theory and applications. Hacettepe Journal of Mathematics and Statistics 45 4 1203–1229.
IEEE G. M. Cordeiro, A. Saboor, M. N. Khan, G. Ozel, and M. A. Pascoa, “The Kumaraswamy exponential-Weibull distribution: theory and applications”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 4, pp. 1203–1229, 2016.
ISNAD Cordeiro, Gauss M. et al. “The Kumaraswamy Exponential-Weibull Distribution: Theory and Applications”. Hacettepe Journal of Mathematics and Statistics 45/4 (August 2016), 1203-1229.
JAMA Cordeiro GM, Saboor A, Khan MN, Ozel G, Pascoa MA. The Kumaraswamy exponential-Weibull distribution: theory and applications. Hacettepe Journal of Mathematics and Statistics. 2016;45:1203–1229.
MLA Cordeiro, Gauss M. et al. “The Kumaraswamy Exponential-Weibull Distribution: Theory and Applications”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 4, 2016, pp. 1203-29.
Vancouver Cordeiro GM, Saboor A, Khan MN, Ozel G, Pascoa MA. The Kumaraswamy exponential-Weibull distribution: theory and applications. Hacettepe Journal of Mathematics and Statistics. 2016;45(4):1203-29.