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We consider the finite sample power of various tests against serial correlation in the disturbances of a linear regression when these disturbances follow a stationary long memory process. It emerges that the power depends on the form of the regressor matrix and that, for the Durbin-Watson test...
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estimated by OLS and that GLS is not possible because the autocorrelation process is unknown and/or because the GLS estimator … would be inconsistent. I show that the autocorrelation process of LP can be written as a Vector Moving Average (VMA) process … of the Wold errors and impulse responses and that autocorrelation can be corrected for using a consistent GLS estimator …
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using the sample autocorrelation function (ACF) to identify long-memory processes. While the ACF establishes the theoretical …
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