Reliability Estimation in Multi-Component Stress-Strength Based on Burr-III Distribution

Abstract

In this paper, we estimate the multicomponent S out of K stress-strength system reliability for Burr-III distribution with non-identical component strengths which are subjected to a common stress. Both stress and strength are assumed to have Burr-III distribution with common and known scale parameter. The research methodology adopted here is to estimate the parameters by using five method of estimation maximum likelihood, least square, weighted least square, regression and moment estimation. The reliability is estimated using the same methods of estimation and results are compared by Monte-Carlo simulation study using MSE and MAPE criteria, the results show that the Ml was the best between them.Keywords: Burr-III distribution, stress-strength, reliability estimation, ML, LS, WLS, Rg and MOM estimation