The supercritical birth, death and catastrophe process: Limit theorems on the set of extinction
type: Item
instance of: scholarly article
title: The supercritical birth, death and catastrophe process: Limit theorems on the set of extinction
zbMATH Open document ID: 0726.60084
DOI: 10.1016/0304-4149(89)90060-4
author: Anthony G. Pakes
author: P. K. Pollett
published in: Stochastic Processes and their Applications
publication date: 1989-01-01T00:00:00Z
Mathematics Subject Classification ID: 60J80
zbMATH DE Number: 4199211
zbMATH Keywords: Markovian population process
zbMATH Keywords: Markov branching process
zbMATH Keywords: quasi-stationary distribution
zbMATH Keywords: Conditional limit theorems
MaRDI profile type: Publication
full work available at URL: 0304-4149(89)90060-4
OpenAlex ID: W2028589393
cites work: Q3664178
cites work: Q5674726
cites work: Limit theorems for the simple branching process allowing immigration, II. The case of infinite offspring mean
cites work: A note on a condition satisfied by certain random walks
cites work: Strong Renewal Theorems with Infinite Mean
cites work: Q5512461
cites work: Quasi-stationary distributions for absorbing continuous-time denumerable Markov chains
cites work: The Markov branching-castastrophe process
cites work: Limit theorems for the population size of a birth and death process allowing catastrophes
cites work: The supercritical birth, death and catastrophe process: Limit theorems on the set of non-extinction
cites work: Asymptotic results for the extinction time of Markov branching processes allowing emigration, I. Random walk decrements
cites work: On the equivalence of \(\mu\)-invariant measures for the minimal process and its q-matrix
cites work: Reversibility, invariance and μ-invariance
cites work: Regularly varying functions in the theory of simple branching processes
cites work: SOME LIMIT THEOREMS FOR EVANESCENT PROCESSES
description: scientific article; zbMATH DE number 4199211