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 . Abstract Users of small and personal computers do not have access to the libraries of generators of random variables provided by experts which have ...

The purpose of The Annals of Probability is to publish contributions to the theory of probability and statistics and their applications. The emphasis is on importance and interest; formal novelty and ...

A random variable that can take only a certain specified set of individual possible values-for example, the positive integers 1, 2, 3, . . . For example, stock prices are discrete random variables, ...