2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111601We derive an asymptotic expansion for the distribution of a compound sum of independent random variables, all having the same light-tailed subexponential distribution. The examples of a Poisson and geometric number of summands serve as an illustration of the main result. Complete calculations are done for a Weibull distribution, with which we derive, as examples and without any difficulties, 7 terms expansions.13 pagesProbability60F99, 60K05, 60G50, 41A60text