Comparing Fleming-Viot and Dawson-Watanabe processes
type: Item
instance of: scholarly article
title: Comparing Fleming-Viot and Dawson-Watanabe processes
zbMATH Open document ID: 0845.60042
DOI: 10.1016/0304-4149(95)00056-9
author: Stephen M. Krone
author: Stewart N. Ethier
published in: Stochastic Processes and their Applications
publication date: 1996-09-02T00:00:00Z
review text: The paper establishes inequalities between the product moments of two classes of super processes, namely Fleming-Viot (FV) and Dawson-Watanabe (DW) processes. It is shown that the moments of the former are bounded above by the corresponding moments of the latter process with the same underlying ``particle motion'' operator and that, subject to the introduction of a multiplicative constant, a converse inequality is also true. Using dual processes and coalescent diagrams the authors obtain moment formulas for FV processes and are then able to compare these with Dynkin's moment formulas for DW processes. The local time of DW processes has been studied by several authors. The authors of the present paper use their moment inequalities to prove existence and joint continuity of local time for certain FV processes.
reviewed by: F. Papangelou
Mathematics Subject Classification ID: 60G57
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 60J55
Mathematics Subject Classification ID: 60G17
zbMATH DE Number: 859313
zbMATH Keywords: super processes
zbMATH Keywords: Dynkin's moment formulas
zbMATH Keywords: local time
MaRDI profile type: Publication
full work available at URL: 0304-4149(95)00056-9
OpenAlex ID: W1979630674
cites work: Local time and Tanaka formulae for super Brownian and super stable processes
cites work: Stochastic evolution equations and related measure processes
cites work: Q3142396
cites work: The carrying dimension of a stochastic measure diffusion
cites work: Wandering random measures in the Fleming-Viot model
cites work: A countable representation of the Fleming-Viot measure-valued diffusion
cites work: Q5342182
cites work: Q3808983
cites work: A note on superprocesses
cites work: Q3787832
cites work: Fleming–Viot Processes in Population Genetics
cites work: Construction and regularity of measure-valued Markov branching processes
cites work: Q3888269
cites work: Ergodic theory and a local occupation time for measure-valued critical branching brownian motion
cites work: Q4039796
cites work: The coalescent
cites work: Stochastic partial differential equations for some measure-valued diffusions
cites work: Local times for superdiffusions
cites work: A Space-Time Property of a Class of Measure-Valued Branching Diffusions
cites work: Q4027487
cites work: A new result on the support of the fleming-viot process, proved by non-standard construction
cites work: Some properties for the measure-valued branching diffusion processes
cites work: A limit theorem of branching processes and continuous state branching processes
cites work: Self-similar random measures. I: Notion, carrying Hausdorff dimension, and hyperbolic distribution
description: scientific article; zbMATH DE number 859313