2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130674We establish some asymptotic expansions for infinite weighted convolution of distributions having regular varying tails. Various applications to statistics and probability are developed.125 pagesProbabilityStatistics Theory41A60, 60F99 (primary) 41A80, 44A35, 60E07, 60G50, 60K05, 60K25, 62E17, 62G32 (secondary)Asymptotic expansions for infinite weighted convolutions of heavy tail distributions and applicationstext