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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 115
effect compartment model in which
c
i
(t) =
Z
t
0
g(t τ, β
i
)e
i
(τ) (5.16)
where we use e
i
(t) as general notation for the observed exposure. An example
for g(t, β) is
g(t, θ) = K
in
exp(Kt), (5.17)
in w hich K
in
and K are unknown parameters, when the exposure is con-
stant, i.e., e(t) = E, c
i
(t) = EK
in
(1 e xp(Kt)/K). This section e xplores
approaches to fitting TTE models when c
(t) is k nown except for a finite
number of parameters to be estimated.
5.3.1 Semiparametric models
In some specific cases, one can estimate the exp osure dynamic represented by
(5.16) with an empirical model approximation while fitting the TTE model.
For example, if time t is discrete, taking values 0, 1, 2, 3, ..., (5.16) can be
approximated ...
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Publisher Resources

ISBN: 9781466573215