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Longitudinal perspectives on event history analysis
Daniel Farewell1, Robin Henderson
1School of Medicine, Cardiff University, Cardiff, CF14 4YS, UK. farewelld@cf.ac.uk
Abstract:
We discuss event histories from the point of view of longitudinal data analysis, comparing several possible inferential objectives. We show that the Nelson-Aalen estimate of a cumulative intensity may be derived as a limiting solution to a sequence of generalized estimating equations for intermittently observed longitudinal count data. We outline a potential use for the theory in interval-censored recurrent-event models, and demonstrate its applicability using data from a Toronto arthritis clinic. We also discuss connections with rate models, along with some implications for the longitudinal analyst.
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