DefinePK

Abstract

A novel probability distribution is developed in this study by adding an extra parameter to the existing Frechet distribution. The proposed study employed Frechet distribution as a baseline to the new probability generator called Semi Modified Alpha Power Frechet Distribution (SMAPFD). Several important statistical properties were developed for the new distribution such as, quantile function, order statistics, Rth moments, Stress strength, 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.