Confidence Bands for Quantiles As a Function of Covariates in Recurrent Event Models

We investigate the construction of various confidence bands for quantiles of the time between event recurrences when covariates and interventions performed after a recurrence are accounted for via a general Cox-type model for recurrent events. We propose three types of bands: those based on the asymptotic properties of the properly standardized quantile; those based on a Khmaladze transformation of the original limiting distribution; and those based on bootstrap techniques. Asymptotic properties of the three types of bands are presented and their small and large sample performances and coverage probabilities are assessed via simulation study