Doukhan, PaulPaulDoukhanLeucht, AnneAnneLeucht0000-0003-3295-723XNeumann, Michael H.Michael H.Neumann2021-11-162021-11-1620221573-9759https://fis.uni-bamberg.de/handle/uniba/52082We derive mixing properties for a broad class of Poisson count time series satisfying a certain contraction condition. Using specific coupling techniques, we prove absolute regularity at a geometric rate not only for stationary Poisson-GARCH processes but also for models with an explosive trend. We provide easily verifiable sufficient conditions for absolute regularity for a variety of models including classical (log-)linear models. Finally, we illustrate the practical use of our results for hypothesis testing.engAbsolute regularityINGARCH330article10.3150/21-BEJ13622011.05854