The Kumaraswamy-power distribution: a generalization of the power distribution

Newdistns: AnRPackage for New Families of Distributions

“…Particular Kumaraswamy G distributions studied in the literature include the Kumaraswamy Birnbaum-Saunders distribution (Saulo, Leao, and Bourguignon 2012), the Kumaraswamy Burr XII distribution (Paranaiba, Ortega, Cordeiro, and Pascoa 2013), the Kumaraswamy exponentiated Pareto distribution (Elbatal 2013b), the Kumaraswamy generalized exponentiated Pareto distribution (Shams 2013a), the Kumaraswamy generalized gamma distribution (Pascoa, Ortega, and Cordeiro 2011), the Kumaraswamy generalized half normal distribution (Cordeiro, Pescim, and Ortega 2012d), the Kumaraswamy generalized linear failure rate distribution (Elbatal 2013a), the Kumaraswamy generalized Lomax distribution (Shams 2013b), the Kumaraswamy generalized Pareto Distribution (Nadarajah and Eljabri 2013), the Kumaraswamy generalized Rayleigh distribution (Gomes, Silva, Cordeiro, and Ortega 2014), the Kumaraswamy geometric distribution (Akinsete, Famoye, and Lee 2014), the Kumaraswamy Gumbel distribution (Cordeiro, Nadarajah, and Ortega 2012a), the Kumaraswamy half-Cauchy distribution (Ghosh 2014), the Kumaraswamy inverse exponential distribution (Oguntunde, Babatunde, and Ogunmola 2014), the Kumaraswamy inverse Rayleigh distribution (Roges, Gusmao, and Diniz 2014), the Kumaraswamy inverse Weibull distribution (Shahbaz, Shahbaz, and Butt 2012), the Kumaraswamy Kumaraswamy distribution (El-Sherpieny and Ahmed 2014), the Kumaraswamy Lindley distribution (Cakmakyapan and Kadilar 2014), the Kumaraswamy log-logistic distribution (Santana, Ortega, Cordeiro, and Silva 2012), the Kumaraswamy modified inverse Weibull distribution (Aryal and Elbata 2015), the Kumaraswamy modified Weibull distribution (Cordeiro, Ortega, and Silva 2014b), the Kumaraswamy Pareto distribution (Bourguignon, Silva, Zea, and Cordeiro 2013), the Kumaraswamy quasi Lindley distribution (Elbatal and Elgarhy 2013) and the Kumaraswamy Weibull distribution (Cordeiro, Ortega, and Nadarajah 2010).…”

The Beta Transmuted Power Distribution: Properties and Application

“…The estimators was developed using weighted squared error and squared error loss functions. Cordeiro and dos Santos Brito (2012) derived Beta power function, Tahir et al (2014) introduced Weibull power function (WPF) distribution, and Oguntunde et al(2015) studied the Kumaraswamy Power function distribution. Cumulative distribution function (cdf) and probability density function (pdf) of power function distribution is given by;…”

The exponentiated Kumaraswamy-power function distribution

“…Cordeiro and dos Santos Brito [11] studied beta-PF distribution. Oguntunde et al [12] derived the Kumaraswamy-PF distribution and Tahir et al [13] introduced Weibull-PF distribution. Recently, Haq et al [2] has been studied transmuted PF distribution and Shakeel [14] compared the two new robust parameter estimation methods for the PF distribution.…”