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In this paper, we indicate how integer-valued autoregressive time
series Ginar(d) of ordre d, d ≥ 1, are simple functionals of multitype branching
processes with immigration. This allows the derivation of a simple criteria for the
existence of a stationary distribution of the time series, thus proving and extending
some results by Al-Osh and Alzaid [1], Du and Li [9] and Gauthier and Latour
[11]. One can then transfer results on estimation in subcritical multitype branching
processes to stationary...
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