Reliability Estimation in Multicomponent Stress-Strength Based on Inverse Weibull Distribution

The present study focuses on the multi-component stress-strength (MCSS) model based on inverse Weibull distribution (IWD). Both stress and strength are assumed to follow IWD with a common shape parameter. In such a system, reliability is obtained by the maximum likelihood (ML) method. The results are extracted using Monte Carlo simulation for comparing the performance of the reliability component R-s,R-k using different sample sizes and different combinations of the parameters (s,k). The procedure is further illustrated through a real data set to show how the proposed technique may be employed to study the strength and stress of multicomponent model.

Automated summary

The present study focuses on the multi-component stress-strength model based on inverse Weibull distribution. Reliability is obtained using the maximum likelihood method, and the performance of different sample sizes and parameter combinations on reliability is compared using Monte Carlo simulation. A real data set is used to demonstrate the application of the proposed technique in studying the strength and stress of a multicomponent model.