Assessing transient carryover effects in recurrent event processes, with application to chronic health conditions
Candemir \c{C}\.i\u{g}\c{s}ar, Jerald F. Lawless

TL;DR
This paper develops models and tests to detect transient carryover effects in recurrent event processes, especially in chronic health conditions like asthma, highlighting the importance of detailed modeling for understanding event dynamics.
Contribution
It introduces new models and a simple test for transient carryover effects in recurrent events, addressing heterogeneity challenges in chronic health condition studies.
Findings
Proposed a simple intuitive test for no carryover effect
Demonstrated the importance of detailed modeling in recurrent events
Applied methods to asthma attack data in children
Abstract
In some settings involving recurrent events, the occurrence of one event may produce a temporary increase in the event intensity; we refer to this phenomenon as a transient carryover effect. This paper provides models and tests for carryover effect. Motivation for our work comes from events associated with chronic health conditions, and we consider two studies involving asthma attacks in children in some detail. We consider how carryover effects can be modeled and assessed, and note some difficulties in the context of heterogeneous groups of individuals. We give a simple intuitive test for no carryover effect and examine its properties. In addition, we demonstrate the need for detailed modeling in trying to deconstruct the dynamics of recurrent events.
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