Enhancing Neutrosophic Weibull-G Family: Simulation and Applications on Neutrosophic Data

Abstract

This paper, propose a new family of continuous probability distributions that combines the Weibull distribution and T-X method to generate the modified family and then combine it with Neutrosophic framework. This family is known as the Neutrosophic Modified Weibull-G (NMW-G) family. Also present the Neutrosophic Modified Weibull Exponential (NMW-E) distribution. The effectiveness of the NMW-E was tested on real neutrosophic data (time to failure of 20 electronic components) and compared with several neutrosophic distributions using specific statistical methods. Five simulations methods were also performed to estimate parameters using: MLE, LSE, WLSE, ADE, and RTADE, and their associated statistical properties were analyzed. The results demonstrated high accuracy and flexibility of the proposed distribution compared to other classical distributions.