On the class of controlled branching processes with random control functions
In this paper, the class of controlled branching processes with random control functions introduced by Yanev (1976) is considered. For this class, necessary and sufficient conditions are established for the process to become extinct with probability 1 and the limit probabilistic behaviour of the population size, suitably normed, is investigated.
Permanent link to this document: http://projecteuclid.org/euclid.jap/1037816020
Digital Object Identifier: doi:10.1239/jap/1037816020
Mathematical Reviews number (MathSciNet): MR1938172
Zentralblatt MATH identifier: 1032.60077