An Extension of Exponentiated Rayleigh Distribution: Properties and Applications

Abstract

This research article deals with the extension of exponentiated Rayleigh distribution introduced by Surles and Padgett (2001) by considering the power transformation of a random variable. The new distribution is referred to as power exponentiated Rayleigh distribution. We provide a comprehensive description of the statistical properties including ordinary and incomplete moments, mean residual life, mean deviations, information measures and order statistics of the subject distribution. The estimation of the unknown parameters of the model is performed by the method of maximum likelihood estimation. Finally, the usefulness of the proposed model among other models is illustrated by means of real life and simulated data sets using some goodness-of-fit measures.