Modeling Poisson variables with positive spatial dependence

The Poisson auto-model is a natural vehicle for modeling data that consist of small counts and may exhibit dependence, frequently spatial dependence. Unfortunately, it is not possible to model positive dependence with a regular Poisson auto-model. We develop a model that allows positive dependencies...

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Bibliographic Details
Published in:Statistics & probability letters 1997-11, Vol.35 (4), p.423-432
Main Authors: Kaiser, Mark S., Cressie, Noel
Format: Article
Language:English
Subjects:
Auto-model
Auto-model Poisson distribution Spatial dependence Winsorization
Poisson distribution
Spatial dependence
Winsorization
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Summary:The Poisson auto-model is a natural vehicle for modeling data that consist of small counts and may exhibit dependence, frequently spatial dependence. Unfortunately, it is not possible to model positive dependence with a regular Poisson auto-model. We develop a model that allows positive dependencies in multivariate count data by specifying conditional distributions as Winsorized Poisson probability mass functions. This model may be used to incorporate either positive or negative dependencies among the variables.
ISSN:0167-7152
1879-2103
DOI:10.1016/S0167-7152(97)00041-2