On the introduction of location parameter to Nakagami-m distribution

Abstract

This research paper examined the Nakagami-m distribution with its properties and then investigated in the new proposed three-parameter extended Nakagami by the introduction of the location parameter. The new proposed distribution, also named as Nakagami-Akintunde distribution, was examined with some basic properties including moments, skewness, kurtosis, asymptotic behaviors and estimation of parameters. The proposed model is much more flexibility and has better representation of data than other existing three-parameter probability distributions like Wei bull distribution, Gamma distribution, Frechet distribution and others. A simulated data set is used to illustrate the importance the potentiality of the new model.