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Asymptotic Inferences for an AR(1) Model with a Change Point and Possibly Infinite Variance

Tianxiao Pang and Danna Zhang

Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 22, 4848-4865

Abstract: The basic model in this paper is an AR(1) model with a structural break in the AR parameter β at an unknown time k0. That is, yt = β1yt − 1I{t ⩽ k0} + β2yt − 1I{t > k0} + ϵt, t = 1, 2, ⋅⋅⋅, T, where I{ · } denotes the indicator function. Suppose |β1|

Date: 2015
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DOI: 10.1080/03610926.2013.802349

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