Weibull Pareto Distribution Survival Function Estimation Using Crisp and Ranking Algorithms

The authors discuss maximum likelihood estimation (MLE) and the Cramer-von-Mises estimation (CVME) to estimate the three parameters which follow the Weibull pareto distribution in this paper. The nonlinear membership function for Gaussian functions is used to obtain the fuzzy number for all these parameters estimators. To create a crisp number, we select estimate parameters with lowest Mean Squared Error (MSE) and we found that CVME has less (MSE) for the parameters. If a fuzzy number is converted to a crisp number, the crisp algorithm approach can be used, according to this investigation. After that, the researchers found the estimation density function, survival function and hazard function.