Abstract
We obtain the convergence rate for the distribution of the fluctuation of almost critical branching processes with immigration to the normal law.
Similar content being viewed by others
References
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).
Gikhman I. I. and Skorokhod A. V., Stochastic Partial Differential Equations and Their Applications [in Russian], Naukova Dumka, Kiev (1968).
Feller W., An Introduction to Probability Theory and Its Applications. Vol. 2 [Russian translation], Mir, Moscow (1984).
Shiryaev A. N., Probability [in Russian], Nauka, Moscow (1989).
Athreya K. B. and Ney P. E., Branching Processes, Springer-Verlag, Berlin (1972).
Sevast’yanov V. A., Branching Processes [in Russian], Nauka, Moscow (1971).
Author information
Authors and Affiliations
Corresponding author
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
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0037446614010200