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Unit Root Test against ESTAR with Deterministic Components

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並列摘要


This article intends to notify that asymptotic distributions of the nonlinear unit root test statistics must be rigorously treated if deterministic components are included in the estimated regression. The simple inductive argument of replacing the standard Brownian motion by either the demeaned or demeaned and detrended ones usually adopted in the literature is invalid. New results on the asymptotic distributions of the t-ratio to test the null of the unit root against the nonlinear exponential smooth transition autoregressive (ESTAR) with deterministic components are provided.

參考文獻


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Kapetanios, G.,Shin, Y.,Snell, A.(2003).Testing for a unit root in the nonlinear STAR framework.Journal of Econometrics.112,359-379.
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Rothe, C.,Sibbertsen, P.(2006).Phillips-Perron-type unit root tests in the nonlinear ESTAR framework.AStA Advance in Statistical Analysis.90,436-456.
White, H.(2001).Asymptotic theory for econometricians.Orlando:Academic Press.

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