The Exponentiated Kumaraswamy-Exponential Distribution
Jailson de Araujo Rodrigues *
Department of Education, Federal Institute of Bahia, Feira de Santana, 44.096-486, Brasil
Ana Paula Coelho Madeira Silva
Department of Exact and Biological Sciences, Federal University of São João Del Rei, Sete Lagoas, 35701-970, Brasil
*Author to whom correspondence should be addressed.
Abstract
A new continuous distribution called exponentiated Kumaraswamy-exponential that extends the exponential distribution and some other distributions is proposed and studied. Several structural properties of the new distribution were investigated, including the moments, hazard function, mean deviations and Rényi entropy. Moreover, we discuss the maximum likelihood estimation of this distribution. An application reveals that the model proposed can be very useful in fitting real data.
Keywords: Akaike information criterion, exponential distribution, kumaraswamy distribution, aximum likelihood estimators