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Research Report

Multifractal height cross-correlation analysis

Krištoufek Ladislav

: ÚTIA AV ČR, (Praha 2010)

: Research Report 2281

: CEZ:AV0Z10750506

: 118310, GA UK, GD402/09/H045, GA ČR, GA402/09/0965, GA ČR

: multifractality, long-range dependence, cross-correlations

: http://library.utia.cas.cz/separaty/2010/E/kristoufek-multifractal height cross-correlation analysis.pdf

(eng): We introduce a new method for detection of long-range cross-correlations and cross-multifractality – multifractal height cross-correlation analysis (MF-HXA). We show that long-range cross-correlations can be caused by long-range dependence of separate processes and the correlations above them. Similar separation applies for cross-multifractality – standard sep- aration between distributional properties and correlations is enriched by division of correlations between auto-correlations and cross-correlations. Efficiency of the method is showed on two types of simulated series – ARFIMA and Mandelbrot’s Binomial Multifractal model. We further ap- ply the method on returns and volatility of NASDAQ and S&P500 indices and uncover some interesting results.

: AH

2019-01-07 08:39