2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209078We propose an explicit recursive method to approximate a power-law with a finite sum of weighted exponentials. Applications to moving averages with long memory are discussed in relationship with stochastic volatility models.4 pages, 4 figures, small modificationsData Analysis, Statistics and ProbabilityStatistical MechanicsPhysics and SocietyStatistical FinanceOptimal approximations of power-laws with exponentialstext