In 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.
Copyright © 2011 Taylor & Francis.
The definitive version is available at: https://www.tandfonline.com/doi/full/10.1080/03610926.2010.513791
Gürler, Ülkü, and Paul Kvam. "Adjusted Hazard Rate Estimator Based on a Known Censoring Probability." Communications in Statistics - Theory and Methods 40, no. 24 (2011): 4409-4416. doi:10.1080/03610926.2010.513791.
Gürler, Ülkü and Kvam, Paul H., "Adjusted Hazard Rate Estimator Based on a Known Censoring Probability" (2011). Math and Computer Science Faculty Publications. 205.