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A limit theory is developed for mildly explosive autoregressions under stationary (weakly or strongly dependent …. These effects are cancelled out in least squares regression theory and thereby the Cauchy limit theory of Phillips and …
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This paper studies an explosive autoregression with conditionally heteroskedastic innovations. The asymptotic distributions of LS, GLS, t-statitiscs, heteroskedasticity-consistent t-statistics and GLS t-statistics are derived for nonstationary local-to-unity and mildly explosive roots, in which...
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residuals to identify heteroscedastic components. We show that conditional heteroscedasticity truly present in the data can be … power to detect conditional heteroscedasticity. Furthermore, the proposed statistics can help to decide which component is … experiments. Finally, we use auxiliary residuals to detect conditional heteroscedasticity in monthly inflation series of eight …
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