This note focuses on the Ornstein–Uhlenbeck process reflected at its long-run level (or long-run mean). The analytical closed-form of the transition density is obtained by virtue of the Skorokhod equation and the time-change for martingales. Our result is consistent with that presented by...

We introduce a class of bisexual branching processes where a control is achieved on the number of couples and the mating depends on the number of progenitor couples. We establish several probabilistic properties and some results about its extinction probability.