  In this paper, we first propose a new extended mixture model of residual
lifetime distributions. We show that this model is suitable in modeling
residual lifetime in some practical situations. Several closure properties of
some well-known dependence concepts, stochastic orders and aging notions under
the formation of this model, are obtained. Finally, preservation properties of
some stochastic orders under the formation of the model are discussed and some
examples of interest are presented.
