Down/up crossing properties of weighted Markov collision processes
type: Item
instance of: scholarly article
title: Down/up crossing properties of weighted Markov collision processes
zbMATH Open document ID: 1472.60128
author: Yanyun Li
author: Junping Li
published in: Frontiers of Mathematics in China
publication date: 2021-08-05T00:00:00Z
review text: The current paper focuses on weighted Markov collision processes, shortly WMC, which are continuous-time Markov chains with state space \(\mathbb{Z}_{+}\) and transition matrix defined in terms of births rates \((b_j)_{j\geq 0}\) and weights \((w_j)_{j\geq 0}\). For WMC, the authors investigate down/up crossing numbers. More precisely, in the main result Theorem 3.2 the joint probability generating function of down crossing and up crossing numbers for WMC is obtained. For making the understanding easier, several examples are considered towards the end of the work.
reviewed by: Ecaterina Sava
Mathematics Subject Classification ID: 60J27
Mathematics Subject Classification ID: 60J35
zbMATH DE Number: 7379089
zbMATH Keywords: weighted Markov collision process
zbMATH Keywords: down crossing
zbMATH Keywords: up crossing
zbMATH Keywords: joint probability distribution
MaRDI profile type: Publication
full work available at URL: s11464-021-0921-x
OpenAlex ID: W3157090233
cites work: Q3664178
cites work: Q5674726
cites work: Uniqueness and extinction of weighted Markov branching processes
cites work: The collision branching process
cites work: Q5727090
cites work: On the Extinction Probability of a Branching Process with Two Kinds of Interaction of Particles
cites work: Generalized Markov interacting branching processes
DOI: 10.1007/S11464-021-0921-X
description: scientific article; zbMATH DE number 7379089