A New Method for Estimating the Stress–Strength Model of Reliability System Based on the Generalized Inverse Pareto Distribution

Hassan Kadum  Mansor; Bayda Atiya  Kalaf; Ahmed Issa  Abdul-Nabi

doi:10.24996/ijs.2025.66.9.29

Authors

Hassan Kadum Mansor Ministry of Education, Directorate of Education, Rusafa Third, Baghdad, Iraq
Bayda Atiya Kalaf Department of Mathematics, College of Education for Pure Science Ibn- Al-Haitham, University of Baghdad, Baghdad, Iraq
Ahmed Issa Abdul-Nabi Department of Mathematics, College of Education for Pure Science Ibn- Al-Haitham, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2025.66.9.29

Keywords:

Maximum Likelihood estimation, , generalized inverse Pareto distribution, reliability system, stress–strength model, , BAT algorithm

Abstract

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.