A new family of generalized distributions

The New Kumaraswamy Kumaraswamy Family of Generalized Distributions with Application

“…We will consider ( ; , , , ) p t a b  as the pdf of the generator distribution 2 ( ; ) g t T in equation (1), then the cdf of the KW-KW family can be given by substituting equation (2) into equation (1) Note that: if b=1, then the family of KW KW reduces to the family of exponentiated KW see Cordeiro et al (2013a), if a=1 and b=1, then it reduces to the family of KW see Cordeiro and Castro (2010), if b=1and α=1, then it reduces to the family of Exponentiated Generalized see Cordeiro et al (2013b) and if a=1, b=1 and β=1, then it reduces to the exponentiated family.…”

A General Model Based on Additive Weibull Distribution: With Application

“…The model in (2) compares extremely favorably in terms of simplicity with the beta cdf, that is, the incomplete beta function ratio. The pdf corresponding to (2) is given by,…”

“…This paper introduces a generalization of the method introduced by Mansour and Hamed [7] using Kumaraswamy distribution introduced by Cordeiro and de Castro [2]. Due to its importance in accommodating all forms of the hazard rate function as seen from Figure 2 (by changing its parameter values) seems to be an important distribution that can be used, it is known not many lifetime distributions exhibit bathtub hazard rates.…”

Family of generalized gamma distributions: Properties and applications

“…Based on the betagenerated family and its variants, more generalized gamma distributions have been defined and studied. Some examples are the beta-gamma distribution by Kong et al (2007), the Kumaraswamy-gamma distribution by Cordeiro and de Castro (2011), the Kumaraswamy-generalized gamma distribution by de Pascoa et al (2011), and the beta generalized gamma distribution by Cordeiro et al (2013).…”