连续时间下具有随机环境的生灭过程。
Birth and death processes with random environments in continuous time.
作者信息
Cogburn R, Torrez W C
出版信息
J Appl Probab. 1981;18(1):19-30.
PMID:12311751
Abstract
"A generalization to continuous time is given for a discrete-time model of a birth and death process in a random environment. Some important properties of this process in the continuous-time setting are stated and proved including instability and extinction conditions, and when suitable absorbing barriers have been defined, methods are given for the calculation of extinction probabilities and the expected duration of the process."
摘要
给出了随机环境中出生和死亡过程离散时间模型到连续时间的推广。阐述并证明了该过程在连续时间设定下的一些重要性质，包括不稳定性和灭绝条件，并且当定义了合适的吸收壁垒时，给出了计算灭绝概率和过程期望持续时间的方法。
相似文献
1
Birth and death processes with random environments in continuous time.
J Appl Probab. 1981;18(1):19-30.
2
On a distribution of first birth interval with random components.
Janasamkhya. 1985 Jun-Dec;3(1-2):91-5.
3
On a probability distribution to study the open birth interval and its application.
Janasamkhya. 1986 Jun;4(1):29-40.
4
Extinction probability, regularity and asymptotic growth of Markovian populations.
J Appl Probab. 1981;18(1):1-18.
5
Analytical models for number of births--a review.
Janasamkhya. 1986 Dec;4(2):147-60.
6
Toward a unified approach to expounding demographic indices.
Janasamkhya. 1987 Jun;5(1):1-25.
7
Several demographic projection techniques.
Rural Demogr. 1981;8(1):1-11.
8
Stochastic model applicable to the study of open birth intervals regardless of parity.
Rural Demogr. 1988;15(1-2):19-26.
9
Extinction times for a birth-death process with two phases.
Math Biosci. 2006 Aug;202(2):310-22. doi: 10.1016/j.mbs.2006.02.004. Epub 2006 Apr 19.
10
An application of parity progression ratios to developing countries.
J Dev Areas. 1982 Jul;16(4):561-71.
引用本文的文献
1
Sur les processus linéaires de naissance et de mort sous-critiques dans un environnement aléatoire.
J Math Biol. 2017 Jul;75(1):85-108. doi: 10.1007/s00285-016-1079-0. Epub 2016 Nov 16.
2
Le modèle stochastique SIS pour une épidémie dans un environnement aléatoire.
J Math Biol. 2016 Oct;73(4):847-66. doi: 10.1007/s00285-016-0974-8. Epub 2016 Feb 20.
3
On linear birth-and-death processes in a random environment.
J Math Biol. 2014 Jul;69(1):73-90. doi: 10.1007/s00285-013-0696-0. Epub 2013 Jun 1.
Zotero 插件