Space-time dependence dynamics for birth-death point processes
type: Item
instance of: scholarly article
title: Space-time dependence dynamics for birth-death point processes
zbMATH Open document ID: 1173.60018
author: B. E. Eshmatov
published in: Statistics \& Probability Letters
publication date: 2008-11-14T00:00:00Z
review text: Two examples of random point fields on \(\mathbb{R}^2\), depending on time, are considered. In both cases evolution of the field arises due to birth new points-offsprings and their dispersion along the plane or due to death of points. In the first example evolution of every point is independent of evolutions of other points of the field. In the second example the authors claim to take into account interaction of points in every time section. They assume the quantity and dispersion of offsprings of a point depend on a set of points belonging into \(R\)-neighborhood of this point. Some formulae for size of population as a function of birth and death coefficients are presented. Unfortunately the article is written insufficiently correctly (for example, they do not differ between random value and its expectation). Thus it is difficult to understand this paper.
Mathematics Subject Classification ID: 60G55
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 62H11
Mathematics Subject Classification ID: 62M30
Mathematics Subject Classification ID: 60G60
zbMATH DE Number: 5366057
zbMATH Keywords: independence
zbMATH Keywords: interaction
zbMATH Keywords: point field
reviewed by: B. P. Harlamov
MaRDI profile type: Publication
full work available at URL: j.spl.2008.03.012
OpenAlex ID: W1981246160
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DOI: 10.1016/J.SPL.2008.03.012
description: scientific article; zbMATH DE number 5366057