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Long-Run Covariance Matrices For Fractionally Integrated Processes

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Author Info
Phillips, Peter C.B.
Kim, Chang Sik

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Abstract

An asymptotic expansion is given for the autocovariance matrix of a vector of stationary long-memory processes with memory parameters d 0, ). The theory is then applied to deliver formulas for the long-run covariance matrices of multivariate time series with long memory.Phillips acknowledges partial support from a Kelly Fellowship and from the NSF under grant SES 04-142254.This may be proved directly using a Fourier integral asymptotic expansion when the spectrum of the short-memory component is analytic.

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File URL: http://journals.cambridge.org/abstract_S0266466607070491
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Publisher Info
Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 23 (2007)
Issue (Month): 06 (December)
Pages: 1233-1247
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:cup:etheor:v:23:y:2007:i:06:p:1233-1247_07

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  1. Peter C.B. Phillips, 2008. "Long Memory and Long Run Variation," Cowles Foundation Discussion Papers 1656, Cowles Foundation, Yale University. [Downloadable!]
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This page was last updated on 2009-11-24.


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