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Exposure-Response Modeling
book

Exposure-Response Modeling

by Jixian Wang
July 2015
Intermediate to advanced content levelIntermediate to advanced
351 pages
10h 2m
English
Chapman and Hall/CRC
Content preview from Exposure-Response Modeling
Exposure–risk modeling for time-to-event data 125
5.5.2 Recurrent events in multistate models
A simple multistate model for recurrent events contains states of having had 1,
2, 3,... events. The gap time between events can be modeled as the transition
time between the states of having k events to having k + 1 events. Let T
ik
be
the time to the kth e vent after having the k 1th, one may assume the hazard
of the kth event as
h
k
(t) = h
0k
(t) exp(X
T
i
β
k
) (5.37)
where h
0k
(t) and β
k
are state specific, but some components may be shared.
When they are all shared, this mo de l describes a renewal process with com-
pletely the same risk of having next event. This assumption is valid only for
very special cases, such as the time to the next failure of a replaced
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Publisher Resources

ISBN: 9781466573215