Effective multifractal features of high-frequency price fluctuations time series and l-variability diagrams

被引:22
作者
de Souza, Jeferson [2 ]
Queiros, Silvio M. Duarte [1 ]
机构
[1] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, Brazil
[2] Univ Fed Parana, Lab Anal Bacias & Petrofis, Dept Geol, Ctr Politecn Jardim Amer, BR-81531990 Curitiba, Parana, Brazil
关键词
JONES INDUSTRIAL AVERAGE; E-INFINITY; STATISTICAL PROPERTIES; TRADED VOLUME; VOLATILITY; TURBULENCE; DYNAMICS; STOCK; DISTRIBUTIONS; DIMENSIONS;
D O I
10.1016/j.chaos.2009.03.198
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this manuscript we present a comprehensive study on the multifractal properties of high-frequency price fluctuations and instantaneous volatility of the equities that compose the Dow Jones Industrial Average. The analysis consists about the quantification of the influence of dependence and non-Gaussianity on the multifractal character of financial quantities. Our results point out an equivalent importance of dependence and non-Gaussianity on the multifractality of time series. Moreover, we analyse e-diagrams of price fluctuations. In the latter case, we show that the fractal dimension of these maps is basically independent of the lag between price fluctuations that we assume. (c) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2512 / 2521
页数:10
相关论文
共 61 条
[1]   A Theory of Intraday Patterns: Volume and Price Variability [J].
Admati, Anat R. ;
Pfleiderer, Paul .
REVIEW OF FINANCIAL STUDIES, 1988, 1 (01) :3-40
[2]   Evidence of a random multifractal turbulent structure in the Dow Jones Industrial Average [J].
Andreadis, I ;
Serletis, A .
CHAOS SOLITONS & FRACTALS, 2002, 13 (06) :1309-1315
[3]   Nonlinearity and multifractality of climate change in the past 420,000 years [J].
Ashkenazy, Y ;
Baker, DR ;
Gildor, H ;
Havlin, S .
GEOPHYSICAL RESEARCH LETTERS, 2003, 30 (22) :CLM2-1
[4]   A graphical representation of local correlations in time series - Assessment of cardiac dynamics [J].
Babloyantz, A ;
Maurer, P .
PHYSICS LETTERS A, 1996, 221 (1-2) :43-55
[5]   Superstatistics [J].
Beck, C ;
Cohen, EGD .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 322 (1-4) :267-275
[6]   ON THE MULTIFRACTAL NATURE OF FULLY-DEVELOPED TURBULENCE AND CHAOTIC SYSTEMS [J].
BENZI, R ;
PALADIN, G ;
PARISI, G ;
VULPIANI, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (18) :3521-3531
[7]   Information gain within nonextensive thermostatistics [J].
Borland, L ;
Plastino, AR ;
Tsallis, C .
JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (12) :6490-6501
[8]  
Bouchaud J., 2000, THEORY FINANCIAL RIS
[9]   Triangle for the entropic index q of non-extensive statistical mechanics observed by Voyager 1 in the distant heliosphere [J].
Burlaga, LF ;
Viñas, AF .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 356 (2-4) :375-384
[10]   Boltzmann and Einstein: Statistics and dynamics - An unsolved problem [J].
Cohen, EGD .
PRAMANA-JOURNAL OF PHYSICS, 2005, 64 (05) :635-643