  We present general results on the univariate tail conditional expectation
(TCE) and multivariate tail conditional expectation for location-scale mixture
of elliptical distributions. Examples include the location-scale mixture of
normal distributions, location-scale mixture of Student-$t$ distributions,
location-scale mixture of Logistic distributions and location-scale mixture of
Laplace distributions. We also consider portfolio risk decomposition with TCE
for location-scale mixture of elliptical distributions.
