Skip to main content
Log in

On the convergence rate in one limit theorem for branching processes with immigration

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

We obtain the convergence rate for the distribution of the fluctuation of almost critical branching processes with immigration to the normal law.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Ispany M., Pap G., and Van Zuijlen M. C. A., “Fluctuation limit of branching processes with immigration and estimation of the mean,” Adv. Appl. Probab., 37, 523–528 (2005).

    Article  MATH  Google Scholar 

  2. Gikhman I. I. and Skorokhod A. V., Stochastic Partial Differential Equations and Their Applications [in Russian], Naukova Dumka, Kiev (1968).

    Google Scholar 

  3. Feller W., An Introduction to Probability Theory and Its Applications. Vol. 2 [Russian translation], Mir, Moscow (1984).

    MATH  Google Scholar 

  4. Shiryaev A. N., Probability [in Russian], Nauka, Moscow (1989).

    Google Scholar 

  5. Athreya K. B. and Ney P. E., Branching Processes, Springer-Verlag, Berlin (1972).

    Book  MATH  Google Scholar 

  6. Sevast’yanov V. A., Branching Processes [in Russian], Nauka, Moscow (1971).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ya. M. Khusanbaev.

Additional information

Original Russian Text Copyright © 2014 Khusanbaev Ya.M.

__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 1, pp. 221–227, January–February, 2014.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khusanbaev, Y.M. On the convergence rate in one limit theorem for branching processes with immigration. Sib Math J 55, 178–184 (2014). https://doi.org/10.1134/S0037446614010200

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0037446614010200

Keywords

Navigation