DIFFUSION APPROXIMATION FOR AN AGE-STRUCTURED POPULATION
成果类型:
Article
署名作者:
Bose, A.; Kaj, I.
署名单位:
Carleton University; Uppsala University
刊物名称:
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN:
1050-5164
DOI:
10.1214/aoap/1177004833
发表日期:
1995
页码:
140-157
关键词:
摘要:
We prove a diffusion limit theorem in the sense of weak convergence of measure-valued processes for a population age model first studied by Kendall. We show that in the diffusion limit scaling, the population structured in age groups behaves in the same way as the total population size, but with an exponential weight. A particular feature of the limiting process is that in general it is discontinuous at time zero.