A NONSTANDARD FAMILY OF POLYNOMIALS AND THE FINAL SIZE DISTRIBUTION OF REED-FROST EPIDEMIC PROCESSES

被引:51
作者
LEFEVRE, C [1 ]
PICARD, P [1 ]
机构
[1] UNIV LYON 1,F-69622 VILLEURBANNE,FRANCE
关键词
D O I
10.2307/1427595
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
引用
收藏
页码:25 / 48
页数:24
相关论文
共 11 条
[1]  
[Anonymous], 1975, MATH THEORY INFECT D
[3]   THE THRESHOLD BEHAVIOR OF EPIDEMIC MODELS [J].
BALL, F .
JOURNAL OF APPLIED PROBABILITY, 1983, 20 (02) :227-241
[4]  
DANIELS HE, 1967, 5TH P BERK S MATH ST, V4, P281
[5]   COST OF A GENERAL STOCHASTIC EPIDEMIC [J].
GANI, J ;
JERWOOD, D .
JOURNAL OF APPLIED PROBABILITY, 1972, 9 (02) :257-&
[6]  
Gontcharoff W., 1937, DETERMINATION FONCTI
[7]  
LUDWIG D, 1975, Mathematical Biosciences, V23, P33, DOI 10.1016/0025-5564(75)90119-4
[8]   APPLICATIONS OF MARTINGALE THEORY TO SOME EPIDEMIC MODELS [J].
PICARD, P .
JOURNAL OF APPLIED PROBABILITY, 1980, 17 (03) :583-599
[9]  
PICARD P, 1990, ADV APPL PROB, V22
[10]   ASYMPTOTIC FINAL SIZE DISTRIBUTION OF THE MULTITYPE REED-FROST PROCESS [J].
SCALIATOMBA, G .
JOURNAL OF APPLIED PROBABILITY, 1986, 23 (03) :563-584