This article is cited in 1 paper

MATHEMATICS

On refinements of the asymptotics expansion of the continuation of critical branching random processes

Sh. Yu. Jurayev

V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan

Abstract: In this paper, an asymptotic expansion is obtained for the probability of continuation of critical branching processes under the assumptions of the existence of factorial moments $\lambda_k$ at $k = 5,6,\ldots,m, m < \infty$.

Keywords: branching random process, probability of continuation, critical branching processes, factorial moments, generating functions, probability of degeneration of the process.

UDC: 519.2

MSC: 60J80

DOI: 10.26117/2079-6641-2020-32-3-42-54