INARMA Models for Count Random Fields -- a Survey

Angelika Silbernagel; Christian H. Weiß

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arXiv · 2605.26888

INARMA Models for Count Random Fields -- a Survey

Angelika Silbernagel·Christian H. Weiß

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Abstract

The thinning-based integer-valued autoregressive moving-average (INARMA) models are popular for count time series. Recently, types of INARMA models have also been developed for count random fields, i.e., for spatial count data located on a regular two-dimensional grid. This article provides a comprehensive survey on existing INARMA random fields, covering approaches with different thinning operators, first- and higher-order models, as well as unilateral and multilateral model structures.

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Angelika Silbernagel, Christian H. Weiß. 2026-05-26. INARMA Models for Count Random Fields -- a Survey. https://arxiv.org/abs/2605.26888

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