A MARKOV-CHAIN MODEL OF EXTRABINOMIAL VARIATION

被引：17
|
作者：
RUDOLFER, SM
机构：
[1] Statistical Laboratory, Department of Mathematics, The University, Manchester
来源：
BIOMETRIKA | 1990年 / 77卷 / 02期
关键词：
Beta-binomial model; Binary data; Correlated binary variables; Extrabinomial variation; Generalized binomial; Markov chain; Overdispersion;
D O I：
10.1093/biomet/77.2.255
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper studies the properties of a {0, 1}-state Markov chain model of extrabinomial variation. If n is even, the Markov chain binomial model is always overdispersed relative to the binomial model with parameters n and p, while if n is odd, it may be over- or underdispersed relative to the binomial model. Expressions for the likelihood and variance functions are obtained, and for n=3, the Markov chain binomial model is compared with the additive and multiplicative binomial models of Altham (1978), as well as to the beta-binomial model. © 1990 Biometrika Trust.
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页码：255 / 264
页数：10
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