Estimating the Survival Function Using Different Copula Functions

The analysis of reliability and survival functions is one of the most important goals in system safety, especially when several dependent failure modes influence on failure time. In previous research, dependency between the degradation process and traumatic failure time has been studied in limited detail (special closed form expression). This study gives some contributions that evaluate reliability metrics with more than one failure mechanism which may not be independent and possibly follow a different distribution function. We have used different copula functions as a basis to develop a proposal model and analysis methods. Finally, real and simulation data were used to review the suggested approach.