Abstract

Publication Information

Authors Zohdy M. Nofal, Ahmed Z. Afify, Haitham M. Yousof, Daniele C. T. Granzotto, 3 Francisco Louzada

Keywords Additive Weibull Distribution, Order Statistics, Maximum Likelihood Estimation, Moments of residual life, Goodness of …t, Moment Generating Function.

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publication.type International

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Abstract

This paper introduces a new lifetime model whiceh generalizes of the transmuted Exponentiated additive Weibull distribution introduced by Nofal et. al. (2015), using the
Kumaraswamy distribution introduced by Cordeiro and de Castro (2011) in order to generate
the the so-called Kumaraswamy transmuted exponentiated additive Weibull distribution. The
new model also generalizes the Kumaraswamy-transmuted exponentiated modi…ed Weibull
distribution introduced by Al-Babtain et. al. (2015). The new model includes seventy nine
sub models as special cases. Various mathematical properties of the new distribution are
derived. The unknown parameters of the new distribution are estimated using the maximum
likelihood estimation method. This model is capable of modeling various shapes of aging and
failure criteria.

Kumaraswamy Transmuted Exponentiated Additive Weibull Distribution