Estimation of P[Y < X] for Bivariate Exponentiated Gamma Distribution

Abstract

Exponentiated distributions are the distributions that can be considered when dealing with either monotonic or non-monotonic event. Bivariate exponentiated gamma (EG) distribution is observed by getting the maximum likelihood estimate when scale parameter is known and when it is unknown. Also percentile estimate of the parameters are also observed, which is discovered to be a better estimator of the parameter of EG.