Universal fluctuations of the AEX index |
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Authors: | Rui Gonçalves Nico Stollenwerk |
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Institution: | a LIAAD-INESC Porto LA and Faculty of Engineering, University of Porto, R. Dr. Roberto Frias s/n, 4200-465 Porto, Portugalb LIAAD-INESC Porto LA, 4810-275, Portugalc Centro de Matemática e Aplicações Fundamentais, Av. Prof. Gama Pinto, 2 1649-003, Lisboa, Portugald LIAAD-INESC Porto LA and Department of Mathematics, Faculty of Sciences, University of Porto, Rua do Campo Alegre, 687, 4169-007, Portugal |
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Abstract: | We compute the analytic expression of the probability distributions FAEX,+ and FAEX,− of the normalized positive and negative AEX (Netherlands) index daily returns r(t). Furthermore, we define the α re-scaled AEX daily index positive returns r(t)α and negative returns (−r(t))α, which we call, after normalization, the α positive fluctuations and α negative fluctuations. We use the Kolmogorov-Smirnov statistical test as a method to find the values of α that optimize the data collapse of the histogram of the α fluctuations with the Bramwell-Holdsworth-Pinton (BHP) probability density function. The optimal parameters that we found are α+=0.46 and α−=0.43. Since the BHP probability density function appears in several other dissimilar phenomena, our result reveals a universal feature of stock exchange markets. |
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Keywords: | Econophysics Interdisciplinary Statistics Financial market BHP Universal fluctuations |
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