2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124311We consider the general measurement scenario in which the ensemble average of an operator is determined via suitable data-processing of the outcomes of a quantum measurement described by a POVM. We determine the optimal processing that minimizes the statistical error of the estimation.4 pages, 1 figure, revtex4. Updated figureQuantum Physicstext