Kpenadidum Distribution: Statistical Properties and Application
Barinaadaa John Nwikpe *
Department of Mathematics, Rivers State University, Port Harcourt, Nigeria.
Innocent Eli Cleopas
Federal University, Otueke, Bayelsa State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we proposed a new one parameter continuous probability distribution, named the Kpenadidum distribution. Some important statistical properties such as the shape of its density for different values of the parameter, the moment generating function, the crude moment and the distribution of its order statistics were derived. The parameter of the new distribution was estimated using maximum likelihood method. The flexibility of the new distribution was shown by the means of two real life data sets, the goodness of fit shows that the Kpenadidum distribution performed better than the base distribution and other competing distributions for the data sets used in this work.
Keywords: Relatives of Isoetes pantii, Probability distribution, spiny spores in lycophyta New species of lsoetes, maximum likelihood, moment generating function, parameter estimation