2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213087In literature, the central limit theorems for the product of sums of various random variables have studied. The purpose of this note is to show that this kind of results are corollary of the invariance principle.Probability60F15;60G50A note on the invariance principle of the product of sums of random variablestext