Abstract

Based on the Kumaraswamy distribution, we study the so called Kumaraswamy Extension Exponential Distribution (KEE). The new distribution has a number of well-known lifetime special sub-models such as a new exponential type distribution, extension exponential distribution Kumaraswamy generalized exponential distribution, among several others. We derive some mathematical properties of the (KEE) including quan tile function, moments, moment generating function and mean residual lifetime. In addition, the method of maximum likelihood and least squares and weighted least squares estimators are discussing for estimating the model parameters. By using the likelihood method a simulation study was made.

Keywords: Kumaraswamy distribution; Extension exponential distribution hazard function; Mean residual lifetime; Maximum likelihood estimation; Moments