Hilbert–Huang Transform based multifractal analysis of China stock market

In this paper, we employ the Hilbert-Huang Transform to investigate the multifractal character of Chinese stock market based on CSI 300 index. The measured Hilbert moment L sub(q)( omega )Lq( omega ) shows a power-law behavior on the range 0.01< omega

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Veröffentlicht in:Physica A 2014-07, Vol.406, p.222-229
Hauptverfasser: Li, Muyi, Huang, Yongxiang
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description In this paper, we employ the Hilbert-Huang Transform to investigate the multifractal character of Chinese stock market based on CSI 300 index. The measured Hilbert moment L sub(q)( omega )Lq( omega ) shows a power-law behavior on the range 0.01< omega
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The measured Hilbert moment L sub(q)( omega )Lq( omega ) shows a power-law behavior on the range 0.01&lt; omega &lt;0.1min-1, equivalent to a time scale range 10&lt; tau &lt;100min. The measured scaling exponents zeta (q) zeta (q) is convex with qq and deviates from the value q/2q/2, implying that the property of self-similarity is broken. Moreover, zeta (q) zeta (q) and the corresponding singularity spectrum D(h)D(h) can be described by a lognormal model with a Hurst number H=0.50H=0.50 and an intermittency parameter mu =0.12 mu =0.12. Our results suggest that the Chinese stock fluctuation might be captured well by a multifractal random walk model with a proper intermittency parameter.</description><identifier>ISSN: 0378-4371</identifier><identifier>DOI: 10.1016/j.physa.2014.03.047</identifier><language>eng</language><subject>Equivalence ; Fluctuation ; Fractal analysis ; Intermittency ; Markets ; Mathematical models ; Raw materials ; Transforms</subject><ispartof>Physica A, 2014-07, Vol.406, p.222-229</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c282t-eea643014f6ca83859e0e8a73b52323349c55186c7f1c80cb51ec9543cd743b3</citedby><cites>FETCH-LOGICAL-c282t-eea643014f6ca83859e0e8a73b52323349c55186c7f1c80cb51ec9543cd743b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Li, Muyi</creatorcontrib><creatorcontrib>Huang, Yongxiang</creatorcontrib><title>Hilbert–Huang Transform based multifractal analysis of China stock market</title><title>Physica A</title><description>In this paper, we employ the Hilbert-Huang Transform to investigate the multifractal character of Chinese stock market based on CSI 300 index. 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subjects Equivalence
Fluctuation
Fractal analysis
Intermittency
Markets
Mathematical models
Raw materials
Transforms
title Hilbert–Huang Transform based multifractal analysis of China stock market
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