%0 Journal Article %T Change point models and conditionally pure birth processes; an inequality on the stochastic intensity %A Emilio De Santis %A Fabio Spizzichino %J Mathematics %D 2004 %I arXiv %X We 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. %U http://arxiv.org/abs/math/0402137v1