Random deflated risk models have been considered in recent literatures. In
this paper, we investigate second-order tail behavior of the deflated risk X=RS
under the assumptions of second-order regular variation on the survival
functions of the risk R and the deflator S. Our findings are applied to
approximation of Value at Risk, estimation of small tail probability under
random deflation and tail asymptotics of aggregated deflated riskComment: 2
