Castellares, F., Lemonte, A. (2015). A new generalized Weibull distribution generated by gamma random variables. test, 23(2), 382-390. doi: 10.1016/j.joems.2014.03.009
Fredy Castellares; Artur J. Lemonte. "A new generalized Weibull distribution generated by gamma random variables". test, 23, 2, 2015, 382-390. doi: 10.1016/j.joems.2014.03.009
Castellares, F., Lemonte, A. (2015). 'A new generalized Weibull distribution generated by gamma random variables', test, 23(2), pp. 382-390. doi: 10.1016/j.joems.2014.03.009
Castellares, F., Lemonte, A. A new generalized Weibull distribution generated by gamma random variables. test, 2015; 23(2): 382-390. doi: 10.1016/j.joems.2014.03.009

A new generalized Weibull distribution generated by gamma random variables

Journal of the Egyptian Mathematical Society
Volume 23, Issue 2, 2015, Pages 382-390    PDF (964.49 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.03.009
Authors
Fredy Castellares1; Artur J. Lemonte* 2
1Departamento de Estatı´stica, Universidade Federal de Minas Gerais, Belo Horizonte, MG, Brazil
2Departamento de Estatı´stica, Universidade Federal de Pernambuco, Recife, PE, Brazil
Abstract
We propose a new and simple representation for the probability density function of the
gamma-G family of distributions as an absolutely convergent power series of the cumulative function of the baseline G distribution. Additionally, the special case the so-called gamma exponentiated Weibull model is introduced and studied in details. 
Keywords
Exponentiated Weibull distribution; Maximum likelihood estimation; Stirling polynomial
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