In this chapter we review the estimation of survival function based on the general path model, with noise that is studied by Bagdonavičius and Nikulin (Lifetime Data Analysis 10: 65–81, 2004). We also discuss the nonparametric, semi-parametric, and parametric estimation of survival function in degradation model with multiple failure modes originated by the ignorance of measurement error described in Bagdonavičius and Nikulin (Lifetime Data Analysis 10: 65–81, 2004), Bagdonavičius et al. (Communication in Statistics-Theory and Methods 34: 1771–1793, 2005), and Haghighi et al. (Proceedings of Second International Conference on Accelerated Life Testing in Reliability and Quality Control, 2008), respectively. Ultimately, different simulation studies are conducted and the comparison of proposed estimation methods are illustrated.