Gürler, Ü.Kvam, P.2016-02-082016-02-0820110361-0926http://hdl.handle.net/11693/21656In most reliability studies involving censoring, one assumes that censoring probabilities are unknown. We derive a nonparametric estimator for the survival function when information regarding censoring frequency is available. The estimator is constructed by adjusting the Nelson-Aalen estimator to incorporate censoring information. Our results indicate significant improvements can be achieved if available information regarding censoring is used. We compare this model to the Koziol-Green model, which is also based on a form of proportional hazards for the lifetime and censoring distributions. Two examples of survival data help to illustrate the differences in the estimation techniques.EnglishHazard functionKaplan–Meier product-limit estimatorKoziol–Green modelNelson–Aalen estimatorStochastic precedenceHazardsFrequency estimationArticle10.1080/03610926.2010.5137911532-415X