Inverse Power Generalized Maxwell Distribution with Applications in Industry

Abstract

Employing the inverse power transformation technique, we have proposed a new continuous three-parameter probability distribution and named it inverse power generalized Maxwell distribution. This distribution is the generalized version of the generalized Maxwell distribution. For this model, we have derived some functions related to survival analysis. Several statistical properties of the model are provided. This study also focused on the estimation of the unknown model parameters. Six different parameter estimation methods are employed and studied extensively through numerical simulation. To investigate the applications of the suggested model, two real engineering data sets are considered and empirically found that the suggested model can provide a superior fit as compared to some candidate models under study.\\ \\ \textbf{Keywords:} Generalize Maxwell distribution, Moments, Estimation, Inverse power, Entropy.