LIMIT-THEOREMS FOR MULTITYPE EPIDEMICS

被引：4
|
作者：
ANDERSSON, H [1 ]
DJEHICHE, B [1 ]
机构：
[1] UNIV STOCKHOLM,DEPT MATH,S-11385 STOCKHOLM,SWEDEN
来源：
STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 1995年 / 56卷 / 01期
关键词：
EPIDEMIC PROCESS; LAW OF LARGE NUMBERS; CENTRAL LIMIT THEOREM; ORNSTEIN UHLENBECK PROCESS;
D O I：
10.1016/0304-4149(94)00059-3
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
By means of the law of large numbers and the central limit theorem, we compare the spatial epidemic model proposed by Kendall with a sequence of multitype epidemics, viewed as Hilbert space-valued stochastic processes. In the limit, the fluctuation process turns out to be an infinite-dimensional Ornstein-Uhlenbeck process.
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页码：57 / 75
页数：19
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