INARMA Models for Count Random Fields -- a Survey
Statistics Theory
2026-05-27 v1 Statistics Theory
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.
Cite
@article{arxiv.2605.26888,
title = {INARMA Models for Count Random Fields -- a Survey},
author = {Angelika Silbernagel and Christian H. Weiß},
journal= {arXiv preprint arXiv:2605.26888},
year = {2026}
}
Comments
11 pages, 2 figures