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Unified inference for an integer-valued AR(1) model

Longyu Chen, Xiaohui Liu, Liang Peng and Fukang Zhu

Communications in Statistics - Theory and Methods, 2024, vol. 54, issue 12, 3732-3742

Abstract: Conditional least squares estimation is often employed to infer an integer-valued AR(1) model and its convergence rate and asymptotic variance differ for the stable and nearly unstable cases. This article adopts a random weighted bootstrap method to provide a unified interval estimation and hypothesis test regardless of the underlying process being either stable or nearly unstable. A simulation study confirms the good finite sample performance of the proposed inference. We also apply it to test for a unit root test in a COVID-19 dataset.

Date: 2024
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DOI: 10.1080/03610926.2024.2403547

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