The Exponentiated Power Chris-Jerry Distribution

Properties, Regression, Simulation and Applications to Infant Mortality Rate and Lifetime of COVID-19 Patients

Abstract

The new three-parameter exponentiated power Chris-Jerry distribution is introduced, and some of its mathematical properties are addressed. Its parameters are estimated by maximum likelihood. A regression model called the log-exponentiated power Chris-Jerry distribution regression model is constructed based on the logarithmic transformation of the proposed distribution. We derived the basic properties of the distribution and showed the flexibility of the proposed model using the plots of the hazard rate function. The new regression model is deployed to fit COVID-19 censored data with the age of patients and diabetic index as the regressors. The usefulness of the proposed model is proved using the infant mortality rate for some selected countries in 2021.