Characterization of the New Modified Class of Power Function Distribution with Theory, Simulation and Applications

Abstract

The generalization of the probability distribution has gained great attention in statistical field. In this study, a new Kumaraswamy Lehmann-2 power function distribution (KL2PFD) is proposed. We suggest a new generator that will modify the power function distribution called Kumaraswamy Lehmann-2 generator (KL2-G). The various properties of the new distribution have been discussed in detail such as moments, vitality function, conditional moments and order statistics etc. We have also characterized the KL2PFD based on, conditional moments (Right and Left Truncated mean) and doubly truncated mean. The shape of the new distribution has been studied for applied sciences. The aim of the study is to increase the application of the Power function distribution. This distribution can be used for approximately symmetric data (normal data), positive and negative skewed data. For this, we have studied the real life application of the distribution by using four different data sets. After analyzing data, we conclude that the proposed model KL2PFD perform better in all the data sets while compared to different competitor models. It is hoped that the findings of this paper will be useful for researchers in different field of applied sciences.