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Note that for a random variableXand a constantα∈[0,1], it holds V(α◦X) =V(E(α◦X|X)) +E(V(α◦X|X)) =V(α·X) +α(1−α)EX̸=V(α·X), see Weiß [2018, p

implies V(Xs,t) = q1∑ i=0 q2∑ j=0 V(βij◦εs−i,t−j) = q1∑ i=0 q2∑ j=0 ( β2 ijσ2 ε+βij(1−βij)µε ) , which leads to the desired expression · 2018

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The Integer-valued Moving-Average Random Field

math.ST · 2026-04-15 · unverdicted · novelty 6.0 · 2 refs

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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  • The Integer-valued Moving-Average Random Field math.ST · 2026-04-15 · unverdicted · none · ref 18 · 2 links

    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.