Neutrosophic Gompertz Inverse Weibull Distribution: Generalization Properties Simulation with Application on Under-Five Mortality Rates

Abstract

This work introduces a new continuous statistical distribution namely Neutrosophic Gompertz Inverse Weibull Distribution (NGoIWD), with four neutrosophic parameters. The NGoIWD used the expansion the Inverse Weibull distribution for Neutrosophic logic by merging it with Neutrosophic Gompertz-G family which was found based on T-X method and Neutrosophic logic in direct method that is mean the parameters for this family be as intervals. The study presents serval basic distribution functions for a new generalization with some illustrations, three methods of presenting the parameters were also presented. In addition to performing a Monte Carlo simulation of NGoIWD using three statistical method and six of unconstrained optimization algorithms to determine its efficiency in parameters estimation. Finally to evaluate the efficiency and flexibility of NGoIWD, real data was used, which represented the mortality rate for children under age five, and compared it with six other distributions that proved to be efficient compared to the other distributions.