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Nader Ebrahimi, Models for recurring events with marginal proportional hazards, Biometrika, Volume 93, Issue 2, June 2006, Pages 481–485, https://doi.org/10.1093/biomet/93.2.481
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Abstract
Semiparametric methods were proposed by Wei et al. (1989) to analyse recurring event-time data. They modelled the marginal distribution of each event time with a Cox proportional hazards model without imposing any constraint on the joint distribution of different event times. Therefore, it is unclear whether or not event times can simultaneously satisfy their respective marginal proportional hazards assumptions, while having continuous joint distribution. Often this leads to a difficulty of conducting simulation studies. In this note we construct parametric marginal proportional hazards models for recurring event times with proper joint density functions.