For an extended class of multitype critical branching processes in a random environment, the asymptotic behaviour of the survival probability is found under the conditions which are weaker than those known earlier even for the single-type case. A functional limit theorem is proved for the number of particles in the process at moments nt, 0 t 1, conditioned on its survival up to moment n.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.