The Transmuted Exponentiated Additive Weibull Distribution: Properties and Applications

Authors

Zohdy M. Nofal, Benha University, EgyptFollow
Ahmed Z. Afify, Benha University, EgyptFollow
Haitham M. Yousof, Benha University, EgyptFollow
Daniele Cristina Tita Granzotto, Universidade Estadual de Maringá, PR, BrazilFollow
Francisco Louzada, Universidade de São Paulo, SP, BrazilFollow

Abstract

A new generalization of the transmuted additive Weibull distribution is proposed by using the quadratic rank transmutation map, the so-called transmuted exponentiated additive Weibull distribution. It retains the characteristics of a good model. It is more flexible, being able to analyze more complex data; it includes twenty-seven sub-models as special cases and it is interpretable. Several mathematical properties of the new distribution as closed forms for ordinary and incomplete moments, quantiles, and moment generating function are presented, as well as the MLEs. The usefulness of the model is illustrated by using two real data sets.

DOI

10.22237/jmasm/1525133340

Recommended Citation

Nofal, Z. M., Afify, A. Z., Yousof, H. M., Granzotto, D. C. T., & Louzada, F. (2018). The Transmuted Exponentiated Additive Weibull Distribution: Properties and Applications. Journal of Modern Applied Statistical Methods, 17(1), eP2526. doi: 10.22237/jmasm/1525133340