A note on bayesian nonparametric survival function estimators for combined cohort data

The availability of both right‐censored and left‐truncated right‐censored failure time data commonly occurs when failure/censoring times are collected by cross‐sectioning the population and acquiring new failure/censoring times during a follow‐up period. Under a frequentist paradigm, the Kaplan‐Meier estimator can be adjusted to account for both types of data separately when estimating the failure time survival function. In this note, we review the analogous Bayesian nonparametric survival function estimators that are applicable to the individual types of data, separately, and propose two Bayesian nonparametric survival function estimators using both the right‐censored and left‐truncated right‐censored failure time data, simultaneously.