S. V. Nagaev, V. I. Vakhtel', “On the local limit theorem for critical Galton–Watson process”, Teor. Veroyatnost. i Primenen., 2005, Volume 50, Issue 3,Pages <nobr>457

This article is cited in 6 papers

On the local limit theorem for critical Galton–Watson process

S. V. Nagaev^a, V. I. Vakhtel'^b

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
^b Technische Universität München

Abstract: The proof of the local limit theorem for a critical Galton–Watson process is given under minimal moment restrictions, i.e., under the condition that there exists the second moment of the number of direct offspring of one particle.

Keywords: Galton–Watson process, Bellman–Harris process, concentration function, local theorem, bilinear generating function.

Received: 25.04.2003
Revised: 30.01.2004

DOI: 10.4213/tvp89