2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130755Trough the classical umbral calculus, we provide new, compact and easy to handle expressions of k-statistics, and more in general of U-statistics. In addition such a symbolic method can be naturally extended to multivariate case and to generalized k-statistics.Extended abstract with corrected typos and change contentCombinatoricsStatistics Theory05A40, 05E05, 62A01text