English

Universal Fluctuations of AEX index

Statistical Finance 2015-05-18 v2

Abstract

We compute the analytic expression of the probability distributions F{AEX,+} and F{AEX,-} of the normalized positive and negative AEX (Netherlands) index daily returns r(t). Furthermore, we define the \alpha re-scaled AEX daily index positive returns r(t)^\alpha and negative returns (-r(t))^\alpha that we call, after normalization, the \alpha positive fluctuations and \alpha negative fluctuations. We use the Kolmogorov-Smirnov statistical test, as a method, to find the values of \alpha that optimize the data collapse of the histogram of the \alpha fluctuations with the Bramwell-Holdsworth-Pinton (BHP) probability density function. The optimal parameters that we found are \alpha+=0.46 and \alpha-=0.43. Since the BHP probability density function appears in several other dissimilar phenomena, our results reveal universality in the stock exchange markets.

Cite

@article{arxiv.1004.1210,
  title  = {Universal Fluctuations of AEX index},
  author = {Rui Gonçalves and Helena Ferreira and Alberto Pinto},
  journal= {arXiv preprint arXiv:1004.1210},
  year   = {2015}
}

Comments

16 pages, 12 figures

R2 v1 2026-06-21T15:07:47.628Z