2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/93659An iterative algorithm for reconstructing the photon distribution from the random phase homodyne statistics is discussed. This method, derived from the maximum-likelihood approach, yields a positive definite estimate for the photon distribution with bounded statistical errors even if numerical compensation for the detector imperfection is applied.6 pages, LaTeX. Submitted to Special Issue of Acta Physica Slovaca on Quantum Optics and Quantum InformationQuantum Physicstext