Large deviation rates for Markov branching processes-Reference-Cited by-同舟云学术

Large deviation rates for Markov branching processes

Published:2020-01-21 Issue:03 Volume:18 Page:447-468
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

Li Junping¹,Cheng Lan¹,Pakes Anthony G.²,Chen Anyue³,Li Liuyan¹

Affiliation:

1. School of Mathematics and Statistics, Central South University, Changsha 410083, P. R. China

2. Department of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia

3. Department of Mathematics, The Southern University of Science and Technology, Shenzhen 518055, P. R. China

Abstract

Large deviation rates are determined for quantities associated with a Markov branching process [Formula: see text] having offspring mean [Formula: see text] and split rate [Formula: see text]. The principal quantities examined are [Formula: see text] and [Formula: see text], where [Formula: see text] is the almost sure limit of an appropriately normed version of [Formula: see text]. Modifications and conditional versions are examined. Some of this requires determination of the asymptotic behavior of harmonic moments [Formula: see text].

Funder

National Natural Science Foundation of China

Natural Science Foundation of Hunan

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530519500209

Reference21 articles.

1. Branching Processes

2. Large Deviation Rates for Branching Processes--I. Single Type Case