The Kumaraswamy G Exponentiated Gumbel type-2 distribution

Abstract

The distribution due to Okorie et al. (2016) is further extended to a wider family of distribution called the Kumaraswamy Generalized Exponentiated Gumbel type-2 distribution. Twenty two distributions are identified as sub-models of the new distribution. Some of its important statistical properties are explicitly derived and the parameters of the new distribution are estimated through the method of maximum likelihood estimation.

Keywords: Gumbel type-2; Kumaraswamy; Weibull; Fréchet; Inverse exponential and Rayleigh distribution