Inference for the stress-strength parameter of multi-state systems based on records

Stress-strength models are used to analyze the reliability of the two-state systems. In this article, the stress-strength model for a multi-state system is discussed. It is assumed that the stress-strength reliability depends on the ratio of strength and stress values. When the stress and the strength random variables follow two independent Weibull distributions, the estimation of the multi-state stress-strength reliability function by various methods is investigated. Particularly, the problem of parameter estimation on the basis of the records is studied in detail. Furthermore, simulation studies are conducted for comparative purposes. Finally, two illustrative examples are presented.