Temporal Aggregation and Bandwidth selection in estimating long memory
AbstractThis article aims at showing that a temporal aggregation and a specific bandwidth reduction lead to the same asymptotic properties in estimating long memory by Geweke and Porter-Hudak's [Journal of Time Series Analysis (1983) vol. 4, pp. 221-237] and Robinson's [Annals of Statistics (1995b) vol. 23, pp. 1630-1661] estimators. In other words, irrespective of the level of temporal aggregation, the asymptotic properties of the estimator are uniquely determined by the number of periodogram ordinates used in the estimation, provided some mild additional assumptions are imposed. Monte Carlo simulations show that this result is a good approximation in finite samples. A real example with the daily US Dollar/French Franc exchange rate series is also provided. Copyright 2007 The Author Journal compilation 2007 Blackwell Publishing Ltd.
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Bibliographic InfoArticle provided by Wiley Blackwell in its journal Journal of Time Series Analysis.
Volume (Year): 28 (2007)
Issue (Month): 5 (09)
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Web page: http://www.blackwellpublishing.com/journal.asp?ref=0143-9782
Other versions of this item:
- Souza, Leonardo Rocha, 2003. "Temporal Aggregation and Bandwidth Selection in Estimating Long Memory," Economics Working Papers (Ensaios Economicos da EPGE) 478, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
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