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A model for long memory conditional heteroscedasticity

Giraitis, Liudas, Robinson, Peter M. and Surgailis, Donatas (2000) A model for long memory conditional heteroscedasticity. Annals of Applied Probability, 10 (3). pp. 1002-1024. ISSN 1050-5164

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Abstract

For a particular conditionally heteroscedastic nonlinear (ARCH) process for which the conditional variance of the observable sequence rt is the square of an inhomogeneous linear combination of rs, s < t, we give conditions under which, for integers 1 > 2, r' has long memory autocorrelation and normalized partial sums of ri converge to fractional Brownian motion.

Item Type: Article
Official URL: http://www.imstat.org/aap/
Additional Information: © 2000 Institute of Mathematical Statistics
Library of Congress subject classification: H Social Sciences > HA Statistics
H Social Sciences > HB Economic Theory
Journal of Economic Literature Classification System: C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods: General > C13 - Estimation
Sets: Departments > Economics
Collections > Economists Online
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 16 Dec 2005
URL: http://eprints.lse.ac.uk/299/

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