Abstract:
The limit theorem for multitype age-dependent critical branching processes is proved. As the consequence the limit theorem for multitype branching processes with immigration is proved too.
Citation:
V. M. Šurenkov, “Two limit theorems for critical branching processes”, Teor. Veroyatnost. i Primenen., 21:3 (1976), 548–558; Theory Probab. Appl., 21:3 (1977), 534–544
This publication is cited in the following 7 articles:
V. Vatutin, A. Iksanov, V. Topchii, “A two-type Bellman–Harris process initiated by a large number of particles”, Acta Appl. Math., 138:1 (2015), 279–312
O. A. Butkovskii, “Limit Behavior of a Critical Branching Process with Immigration”, Math. Notes, 92:5 (2012), 612–618
V. M. Shurenkov, “Transitional phenomena of renewal theory in asymptotic problems of the theory of random processes. I”, Math. USSR-Sb., 40:1 (1981), 107–123
V. M. Shurenkov, “Transitional phenomena of renewal theory in asymptotic problems of the theory of random processes. II”, Math. USSR-Sb., 40:2 (1981), 211–225
V. M. Šurenkov, “On the additive functionals of branching processes”, Theory Probab. Appl., 24:2 (1979), 396–401
О. V. V'yugin, “On transition phenomena in Bellman–Harris branching processes”, Theory Probab. Appl., 22:4 (1978), 836–840
V. A. Vatutin, “Asymptotic behaviour of the non-extinction probability for a critical branching process”, Theory Probab. Appl., 22:1 (1977), 140–146
Citation in format AMSBIB
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