Different methods of estimation for the one-parameter Akash distribution

Abstract

Akash distribution is a mixture of an exponential distribution and a gamma distribution withcertain mixing proportions. Although the maximum likelihood estimation method has beenproposed for the Akash distribution, there is no comprehensive comparison of differentmethods of estimation in the literature. This study provides five different methods ofestimation, such as maximum likelihood, least-squares, weighted least-squares, AndersonDarling, and Crámer–von-Mises for Akash distribution. We consider a comprehensive MonteCarlo simulation study to compare the performances of these methods via the biases and meansquared errors of these estimators. Also, a real data application is performed.