The Log Akash Regression Model with Application

Abstract

The current study proposes and presents a new regression model for the response variable following the Akashdistribution. The unknown parameters of the regression model are estimated using the maximum likelihood method. A simulation study is conducted to evaluate the performance of the maximum likelihood estimates (MLEs). Additionally, a residual analysis is performed for the proposed regression model. The log-Akash model is compared to several other models, including Weibull regression and gamma regression, using various statistical criteria. The results show that the suggested model fits the data better than these other models. It is anticipated that the model has applications in fields such as economics,biological studies, mortality and recovery rates, health, hazards, measuring sciences, medicine, and engineering.