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Whittle pseudo-maximum likelihood estimation for nonstationary time series

Velasco, C and Robinson, Peter (2000) Whittle pseudo-maximum likelihood estimation for nonstationary time series. Journal of the American Statistical Association, 95 (452). 1229 - 1243. ISSN 0162-1459

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Identification Number: 10.1080/01621459.2000.10474323


Whittle pseudo-maximum likelihood estimates of parameters for stationary time series have been found to be consistent and asymptotically normal in the presence of long-range dependence. Generalizing the definition of the memory parameter d we extend these results to include possibly nonstationary (.5 ≤ d < 1) or antipersistent (-.5 < d < 0) observations. Using adequate data tapers, we can apply this estimation technique to any degree of nonstationarity d ≥ .5 without a priori knowledge of the memory of the series. We analyze the performance of the estimates on simulated and real data.

Item Type: Article
Official URL:
Additional Information: © 2000 American Statistical Association
Divisions: LSE
Subjects: H Social Sciences > HA Statistics
Date Deposited: 27 Apr 2007
Last Modified: 15 May 2024 23:46

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