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rdf:type
lifeskim:mentions
pubmed:issue
44
pubmed:dateCreated
2007-11-5
pubmed:abstractText
Fat-tailed distributions have been reported in fluctuations of financial markets for more than a decade. Sliding interval techniques used in these studies implicitly assume that the underlying stochastic process has stationary increments. Through an analysis of intraday increments, we explicitly show that this assumption is invalid for the Euro-Dollar exchange rate. We find several time intervals during the day where the standard deviation of increments exhibits power law behavior in time. Stochastic dynamics during these intervals is shown to be given by diffusion processes with a diffusion coefficient that depends on time and the exchange rate. We introduce methods to evaluate the dynamical scaling index and the scaling function empirically. In general, the scaling index is significantly smaller than previously reported values close to 0.5. We show how the latter as well as apparent fat-tailed distributions can occur only as artifacts of the sliding interval analysis.
pubmed:language
eng
pubmed:journal
pubmed:status
PubMed-not-MEDLINE
pubmed:month
Oct
pubmed:issn
0027-8424
pubmed:author
pubmed:issnType
Print
pubmed:day
30
pubmed:volume
104
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
17287-90
pubmed:dateRevised
2010-9-15
pubmed:year
2007
pubmed:articleTitle
Nonstationary increments, scaling distributions, and variable diffusion processes in financial markets.
pubmed:affiliation
Department of Physics and Texas Center for Superconductivity, University of Houston, Houston, TX 77204, USA.
pubmed:publicationType
Journal Article