An INMA random field model for integer-valued spatial data is introduced, with closed-form marginal distributions, bivariate distributions, and autocovariances for arbitrary order including multilateral cases, and Poisson marginals are possible.
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Survey of thinning-based INARMA models for count random fields on regular 2D grids, covering thinning operators, model orders, and unilateral/multilateral structures.
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The Integer-valued Moving-Average Random Field
An INMA random field model for integer-valued spatial data is introduced, with closed-form marginal distributions, bivariate distributions, and autocovariances for arbitrary order including multilateral cases, and Poisson marginals are possible.
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INARMA Models for Count Random Fields -- a Survey
Survey of thinning-based INARMA models for count random fields on regular 2D grids, covering thinning operators, model orders, and unilateral/multilateral structures.