The Remkan Distribution and Its Applications
Uwaeme, O. R. *
Department of Statistics, Kingsley Ozumba Mbadiwe University, Nigeria.
Akpan, N. P.
Department of Mathematics and Statistics, University of Port Harcourt, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
Due to the ever growing demand for the development of new lifetime distributions to meet the goodness of fit demand of complex datasets, two-parameter distributions has been proposed in recent times. This study therefore aims to contribute to this demand. We propose a new two-parameter lifetime distribution known as the Remkan distribution. Important mathematical properties of the Remkan distribution such as the moments and other related measures, and moment generating function were derived and the model parameters estimated using the maximum likelihood estimate technique. Finally, the flexibility of the new Remkan distribution was illustrated using a real life dataset and the results showed that the new Remkan distribution was the best amongst other competing two parameter distributions.
Keywords: Remkan distribution, lifetime distributions, two-parameter distributions, simulation, moments, moment generating functions