Fully exponential Laplace approximations for the joint modelling of survival and longitudinal data

Research output: Contribution to journalArticleAcademicpeer-review

79 Citations (Scopus)


A common objective in longitudinal studies is the joint modelling of a longitudinal response with a time-to-event outcome. Random effects are typically used in the joint modelling framework to explain the interrelationships between these two processes. However, estimation in the presence of random effects involves intractable integrals requiring numerical integration. We propose a new computational approach for fitting such models that is based on the Laplace method for integrals that makes the consideration of high dimensional random-effects structures feasible. Contrary to the standard Laplace approximation, our method requires much fewer repeated measurements per individual to produce reliable results.
Original languageUndefined/Unknown
Pages (from-to)637-654
Number of pages18
JournalJournal of the Royal Statistical Society. Series B. Statistical Methodology
Publication statusPublished - 2009

Cite this