Survival data or more general time-to-event data occur in many areas, including medicine, biology, engineering, economics, and demography, but previously standard methods have requested that all time variables are univariate and independent. This book extends the field by allowing for multivariate times. As the field is rather new, the concepts and the possible types of data are described in detail. Four different approaches to the analysis of such data are presented from an applied point of view.

Inhalt

Introduction Univariate Survival Data Dependence Structures Bivariate Dependence Measures Probability Aspects of Multi-state Models Statistical Inference for Multi-state Models Shared Frailty Models Statistical Inference for Shared Frailty Models Shared Frailty Models for Recurrent Events Multivariate Frailty Models Instantaneous and Short-term Frailty Models Competing Risks Models Marginal and Copula Modelling Multivariate Non-Parametric Estimates Summary