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The bootstrap is shown to be inconsistent in spurious regression. The failure of the bootstrap is spectacular in that the bootstrap effectively turns a spurious regression into a cointegrating regression. In particular, the serial correlation coefficient of the residuals in the bootstrap...
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theory relies on a sequence-based delta method in the stationary case and a sequence-based implicit continuous mapping … theorem in unit root and local to unity cases. The new limit theory shows that the IIE achieves much more than bias correction …. It changes the limit theory of the maximum likelihood estimator (MLE) when the autoregressive coefficient is in the …
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