id: 05552586
dt: j
an: 05552586
au: Economou, P.; Caroni, C.
ti: Graphical tests for the frailty distribution in the shared frailty model.
so: Commun. Stat., Simulation Comput. 37, No. 5, 978-992 (2008).
py: 2008
pu: Taylor \& Francis, Philadelphia, PA
la: EN
cc: 
ut: diagnostic plots; proportional hazards; shared frailty
ci: 
li: doi:10.1080/03610910801943768
ab: Summary: We extend a diagnostic plot for the frailty distribution in
    proportional hazards models to the case of shared frailties. The plot
    is based on a closure property of exponential family failure
    distributions with canonical statistics $z$ and $g(z)$, namely that the
    frailty distribution among survivors at time $t$ has the same form,
    with the same values of the parameters associated with $g(z)$. We
    extend this property to shared frailties, considering various
    definitions of a “surviving” cluster at time $t$. We illustrate the
    effectiveness of the method in the case where the “death” of the
    cluster is defined by the first death among its members.
rv: