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Modelling zero-inflated spatio-temporal processes
We consider models for spatio-temporal processes which assume either non-negative values, and often are observed as zero, or discrete values and are also inflated by zeros. Typically, in the first case, the spatial observations are obtained at fixed locations (point-referenced data) over a region D;...
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Published in: | Statistical modelling 2009-03, Vol.9 (1), p.3-25 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | We consider models for spatio-temporal processes which assume either non-negative
values, and often are observed as zero, or discrete values and are also inflated by
zeros. Typically, in the first case, the spatial observations are obtained at fixed
locations (point-referenced data) over a region D;
whereas in the second, the region D is divided into a finite number of
regular or irregular subregions (areal level), resulting in
observations for each subregion. Our main idea is based on those of zeroinflated
models, by assuming that the value observed at location s and time t,
Yt
(s), is a realization of a mixture between a
Bernoulli distribution with a probability of success θt
(s) and a probability density function or
probability function p(yt
(s) | .) For both cases, we include
spatio-temporal latent processes in the model to account for the possible extra
variation present in the mean structure of θt
(s) and/or
p(yt(s) | .). In
the context of point-referenced data, we model the amount of rainfall over the city
of Rio de Janeiro during 75 weeks; whereas in the areal data level case, we consider
weekly cases of dengue fever in the city of Rio de Janeiro during the years of
2001–02. |
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ISSN: | 1471-082X 1477-0342 |
DOI: | 10.1177/1471082X0800900102 |