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Transition phenomena for age-dependent branching processes with discrete time. I. (English. Russian original) Zbl 0293.60081

Sib. Math. J. 15, 261-281 (1974); translation from Sib. Mat. Zh. 15, 368-394 (1974).

MSC:

60J80 Branching processes (Galton-Watson, birth-and-death, etc.)
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References:

[1] R. Bellman and T. Harris, ?On the theory of age-dependent stochastic processes,? Proc. Nat. Acad. Sci. USA,34, 601-604 (1948). · Zbl 0041.45604 · doi:10.1073/pnas.34.12.601
[2] T. Harris, The Theory of Branching Processes, Springer, Berlin (1963). · Zbl 0117.13002
[3] B. A. Sevast’yanov, ?Transition phenomena in branching processes,? Teoriya Veroyatnostei i Ee Primeneniya,4, No. 2, 121-135 (1959).
[4] J. Choven and P. E. Ney, ?A non-linear integral equation and its application to critical branching processes,? J. Math. and Mech.,4, No. 5, 723-736 (1965). · Zbl 0144.18607
[5] H. J. Weiner, ?Asymptotic properties of a simple age-dependent branching process with m=1,? Ann, Math. Statistics,36, No. 5, 1565-1568 (1965). · Zbl 0143.19201 · doi:10.1214/aoms/1177699917
[6] B. A. Sevast’yanov, ?Limit theorems for branching processes with transformations depending on particle age,? Teoriya Veroyatnostei i Ee Primeneniya,13, No. 2, 243-264 (1968).
[7] S. V. Nagaev and R. Mukhamedkhanova, ?Transition phenomena in random branching processes with discrete time,? in: Limit Theorems and Statistical Inferences [in Russian], Fan, Tashkent (1966), pp. 83-89.
[8] S. V. Nagaev and R. Mukhamedkhanova, ?Some remarks on previously published therems in the theory of random branching processes,? in: Probabilistic Models and Statistical Control [in Russian], Fan, Tashkent (1968), pp. 46-49.
[9] S. V. Nagaev, ?Certain theorems of the renewal type,? Teoriya Veroyatnostei i Ee Primeneniya,13, No. 4, 585-601 (1968). · Zbl 0179.47701
[10] B. A. Sevast’yanov, ?Branching processes with transformations depending on particle age,? Teoriya Veroyatnostei i Ee Primeneniya,9, No. 4, 578-594 (1964).
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