2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145508We apply recent bounds of the author (math.PR/0609224) for generalized Smirnov statistics to the distribution of integers whose prime factors satisfy certain systems of inequalities.10 pages. Minor corrections; increase in the range of variables in the theorems and corollary. To appear in Functiones et Approximatio Commentarii MathematiciNumber TheoryProbabilityPrimary 11N25; Secondary 62G30text