![]() The authors referred to this form as the generalized beta-generated distributions (GBGD) and the generator has three shape parameters. () replaced the beta generator distribution with the generalized beta type I distribution. () and Kumaraswamy Gumbel distribution by Cordeiro et al. (), Kumaraswamy log-logistic distribution by de Santana et al. Detailed statistical properties on some Kumaraswamy generated distributions include the Kumaraswamy generalized gamma distribution by de Pascoa et al. After the paper by Jones (), on the tractability properties of the Kumaraswamy's distribution (Kumaraswamy ), Cordeiro and de Castro () replaced the classical beta generator distribution with the Kumaraswamy's distribution and introduced the Kumaraswamy generated family. (), and beta-Cauchy distribution by Alshawarbeh et al. (), beta-Laplace distribution by Cordeiro and Lemonte (), beta-generalized Weibull distribution by Singla et al. (), beta-Pareto distribution by Akinsete et al. (), beta-exponential distribution by Nadarajah and Kotz (), beta-gamma distribution by Kong et al. See for example, beta-Gumbel distribution by Nadarajah and Kotz (), beta-Weibull distribution by Famoye et al. (), many other authors have defined and studied a number of the beta-generated distributions, using various forms of known F( x). () used a normal random variable X to define and study the beta-normal distribution.
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