Upper bounds are derived for the probability that the sum S of n independent random variables exceeds its mean ES by a positive number nt. It is assumed that the range of each summand of S is bounded ...

This paper studies the approximation of extreme quantiles of random sums of heavy-tailed random variables, or, more specifically, subexponential random variables. A key application of this ...

This is a preview. Log in through your library . The purpose of The Annals of Probability is to publish contributions to the theory of probability and statistics and their applications. The emphasis ...