Estimating the di!erencing parameter via the partial autocorrelation function
نویسنده
چکیده
This paper provides an explanation for the puzzling phenomenon in Tieslau et al. (1996, Journal of Econometrics 71, 249}264) that a substantial e$ciency loss occurs if low-order autocorrelations are omitted when estimating the di!erencing parameter, d. This is because for all n strictly bigger than 1, the nth-order autocorrelation function does not depend uniquely on the di!erencing parameter. We construct a new estimator for the di!erencing parameter based on the partial autocorrelation function. Comparisons of the asymptotic and "nite-sample variance of our estimator and those of TSB are made. A substantial e$ciency gain is achieved by our estimator as compared to TSB's. ( 2000 Elsevier Science S.A. All rights reserved. JEL classixcation: C22
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تاریخ انتشار 2000