2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70106We analyze several aspects of a class of simple counting processes, that can emerge in some fields of applications where the presence of a change-point occurs. Under simple conditions we, in particular, prove a significant inequality for the stochastic intensity.15 pagesProbability60G55; 60J27; 60K10Change point models and conditionally pure birth processes; an inequality on the stochastic intensitytext