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Power variation of some integral fractional processes (2006)

Abstract
We consider the asymptotic behaviour of the realized power variation of processes of the form . We establish the stable convergence of the corresponding fluctuations. These results provide new statistical tools to study and detect the long-memory effect and the Hurst parameter.

Publication details
Download http://ProjectEuclid.org/getRecord?id=euclid.bj/1155735933
Publisher Bernoulli Society for Mathematical Statistics and Probability
Repository Project Euclid (Hosted at Cornell University Library) (United States)
Keywords central and non-central limit theorems, fractional Brownian motion, long memory, p-variation, realized power variation
Type text
Language Englisch