A Study on Bivariate Exponentiated Nadarajah-Haghighi Distribution Derived from Plackett Copula

Abstract

The Nadarajah-Haghighi distribution is an essential lifetime distribution in survival analysis that serves as an alternative to the Weibull, beta and exponentiated exponential distributions. In this paper, a new bivariate distribution is proposed using the exponentiated Nadarajah-Haghighi distribution. The joint probability density function of the proposed distribution was established using Plackett copula function. The model’s parameters were established using the Maximum Likelihood Estimation (MLE) procedure. An application using real datasets to depict the usefulness of the proposed model was demonstrated using two different datasets. The results of the applications indicated that the new bivariate distribution fit the real data and executed practically better than its competitors.