Three mathematicians have laid out proof that solves a long-standing problem in mathematics. Even the mathematician—an Abel ...

Probabilistic sums arise when aggregating random variables whose number of terms may itself be random, a scenario common in fields as diverse as insurance claims modelling, queueing theory and genomic ...

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 ...