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Multifractal Height Cross-Correlation Analysis
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SYSNO ASEP 0367954 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Multifractal Height Cross-Correlation Analysis Author(s) Krištoufek, Ladislav (UTIA-B) RID, ORCID Number of authors 1 Source Title Mathematical Methods in Economics 2011. - Prague : Proffesional publishing, 2011 - ISBN 978-80-7431-058-4 Pages s. 1-19 Number of pages 6 s. Publication form Print - P Action Mathematical Methods in Economics 2011 Event date 06.09.2011-09.09.2011 VEvent location Jánska Dolina Country SK - Slovakia Event type EUR Language eng - English Country CZ - Czech Republic Keywords cross-correlations ; multifractality ; long-range dependence Subject RIV AH - Economics R&D Projects GA402/09/0965 GA ČR - Czech Science Foundation (CSF) GD402/09/H045 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000309074600067 Annotation We introduce a new method for detection of long-range cross- correlations and cross-multifractality – multifractal height cross-correlation analysis (MF-HXA). MF-HXA is a multivariate generalization of the height- height correlation analysis. We show that long-range cross-correlations can be caused by a mixture of the following – long-range dependence of separate processes and additional scaling of covariances between the processes. Simi- lar separation applies for cross-multifractality – standard separation between distributional properties and correlations is enriched by division of correlations between auto-correlations and cross-correlations. We further apply the method on returns and volatility of NASDAQ and S&P500 indices as well as of Crude and Heating Oil futures and uncover some interesting results. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2013
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