A New Method for Estimating the Stress–Strength Model of Reliability System Based on the Generalized Inverse Pareto Distribution
Maximum Likelihood estimation
generalized inverse Pareto distribution
reliability system
stress–strength model
BAT algorithm
The estimation of the stress–strength model is perhaps one of the most challenging concepts in reliability analysis. Therefore, in this paper, a new metaheuristic algorithm (BAT algorithm) is used to estimate the Stress strength reliability system for the generalized inverse Pareto distribution. Furthermore, some statistical properties for generalized inverse Pareto distribution are derived. In a
simulation study, the BAT algorithm and the classical Maximum Likelihood (MLE) method are compared using the Relative efficiency criterion. The results show that the BAT variant estimates the parameters more accurately than the MLE.