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arxiv: 1204.3316 · v1 · pith:HDCC2L4Pnew · submitted 2012-04-15 · 🧮 math.PR

On random coefficient INAR(1) processes

classification 🧮 math.PR
keywords randomcoefficientadditiveasymptoticattractionautoregressivebasawabehavior
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The random coefficient integer-valued autoregressive process was introduced by Zheng, Basawa, and Datta. In this paper we study the asymptotic behavior of this model (in particular, weak limits of extreme values and the growth rate of partial sums) in the case where the additive term in the underlying random linear recursion belongs to the domain of attraction of a stable law.

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