A new probability distribution: properties, copulas and applications in medicine and engineering

Abstract

In this work, we construct a three-parameter Chen modification that is flexible. The "J shape", "monotonically increasing", "U shape," and "upside down (reversed bathtub)" hazard rate forms are all supported by the new Chen extension's hazard rate. We derive pertinent statistical features. A few distributions of the bivariate kind are generated. For evaluating the model parameters, we took the maximum likelihood estimation approach into consideration. Maximal likelihood estimators are evaluated via graphical simulations. To demonstrate the applicability of the new approach, two genuine data sets are taken into consideration and examined. The Akaike Information criterion, Bayesian Information criterion, Cramer-von Mises criterion, Anderson-Darling criterion, Kolmogorov-Smirnov test, and its related p-value are used to evaluate the new model with a variety of popular competing models.