SEMI MODIFIED ALPHA POWER RAYLEIGH DISTRIBUTION: ITS PROPERTIES AND APPLICATIONS

Abstract

A new probability distribution is developed in this study by adding an extra parameter to the existing Rayleigh distribution. The given study employed Rayleigh distribution as a baseline to the new probability generator called Semi Modified Alpha Power Rayleigh Distribution (SMAPRD). Several important statistical properties were developed for the new distribution such as, SF, HF, median, mode, order statistics, R^th moments, Mean Residual Life Function (MRLF) and entropy etc. Maximum likelihood estimation method was used to derive the estimates of the parameters. Two real data sets were applied to the proposed distribution and have a better fit as compare to the class of other distributions.