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188宝金博页面版: Wild bootstrap tests for unit root in ESTAR models

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内容提示: Stat Methods Appl (2015) 24:475–490DOI 10.1007/s10260-014-0289-0Wild bootstrap tests for unit root in ESTAR modelsDaiki MakiAccepted: 16 October 2014 / Published online: 28 October 2014? Springer-Verlag Berlin Heidelberg 2014Abstract This paper introduces wild bootstrap tests for unit root in exponentialsmooth transition autoregressive (ESTAR) models. Asymptotic unit root tests inESTAR models have severe size distortions in the presence of heteroskedastic vari-ancessuchasgeneralizedautoregressiveconditio...

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Stat Methods Appl (2015) 24:475–490DOI 10.1007/s10260-014-0289-0Wild bootstrap tests for unit root in ESTAR modelsDaiki MakiAccepted: 16 October 2014 / Published online: 28 October 2014© Springer-Verlag Berlin Heidelberg 2014Abstract This paper introduces wild bootstrap tests for unit root in exponentialsmooth transition autoregressive (ESTAR) models. Asymptotic unit root tests inESTAR models have severe size distortions in the presence of heteroskedastic vari-ancessuchasgeneralizedautoregressiveconditionalheteroskedasticityandstochasticvolatility,andhence,toimprovethesedistortions,weuseawildbootstrap.MonteCarlosimulations show that in asymptotic tests, severe over-rejection of the null hypothe-sis occurs under heteroskedastic variances, whereas the proposed wild bootstrap testshave reasonable size and power properties.Keywords Wild bootstrap · Unit root · ESTAR · Heteroskedastic variance1 IntroductionUnit root tests in exponential smooth transition autoregressive (ESTAR) mod-els are useful in investigating monetary and f i nancial time series because (i)monetary and f i nancial data frequently exhibit behavior that can be captured inESTAR models by trade and transaction costs in the market and (ii) standard unitroot tests assuming linear adjustment have poor power under ESTAR processes.These two facts imply that stationary ESTAR processes tend to be misspeci-f i ed as a unit root process. Hence, Kapetanios et al. (2003), Park and Shin-This research was supported by KAKENHI (Grant Numbers: 25380272 and 24530375).D. Maki ( B )Faculty of Economics, Ryukoku University, 67 Tsukamoto-cho Fukakusa, Fushimi-ku,Kyoto 612-8577, Japane-mail: maki@econ.ryukoku.ac.jp123

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