Skip to main content
Log in

Transition phenomena for age-dependent branching processes with discrete time. I

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. R. Bellman and T. Harris, “On the theory of age-dependent stochastic processes,” Proc. Nat. Acad. Sci. USA,34, 601–604 (1948).

    Google Scholar 

  2. T. Harris, The Theory of Branching Processes, Springer, Berlin (1963).

    Google Scholar 

  3. B. A. Sevast'yanov, “Transition phenomena in branching processes,” Teoriya Veroyatnostei i Ee Primeneniya,4, No. 2, 121–135 (1959).

    Google Scholar 

  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).

    Google Scholar 

  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).

    Google Scholar 

  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).

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

  9. S. V. Nagaev, “Certain theorems of the renewal type,” Teoriya Veroyatnostei i Ee Primeneniya,13, No. 4, 585–601 (1968).

    Google Scholar 

  10. B. A. Sevast'yanov, “Branching processes with transformations depending on particle age,” Teoriya Veroyatnostei i Ee Primeneniya,9, No. 4, 578–594 (1964).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 15, No. 2, pp. 368–394, March–April, 1974.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nagaev, S.V. Transition phenomena for age-dependent branching processes with discrete time. I. Sib Math J 15, 261–281 (1974). https://doi.org/10.1007/BF00968290

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00968290

Keywords

Navigation