# Extremes of censored and uncensored lifetimes in survival data

@article{Maller2021ExtremesOC, title={Extremes of censored and uncensored lifetimes in survival data}, author={Ross A. Maller and Sidney Resnick}, journal={Extremes}, year={2021}, volume={25}, pages={331-361} }

We consider a random censoring model for survival analysis, allowing the possibility that only a proportion of individuals in the population are susceptible to death or failure, and the remainder are immune or cured. Susceptibles suffer the event under study eventually, but the time at which this occurs may not be observed due to censoring. Immune individuals have infinite lifetimes which are always censored in the sample. Assuming that the distribution of the susceptibles’ lifetimes as well as…

## 2 Citations

### Splitting the sample at the largest uncensored observation

- MathematicsBernoulli
- 2022

We calculate finite sample and asymptotic distributions for the largest censored and uncensored survival times, and some related statistics, from a sample of survival data generated according to an…

### Exact and Asymptotic Tests for Sufficient Followup in Censored Survival Data

- Mathematics
- 2021

The existence of immune or cured individuals in a population and whether there is sufficient followup in a sample of censored observations on their lifetimes to be confident of their presence are…

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