Stochastic processes with power-law stability and a crossover in power-law correlations

Boris Podobnik, Ivo Grosse and H Eugene Stanley

Physica A: Statistical Mechanics and its Applications, 2002, vol. 316, issue 1, 153-159

Abstract: Motivated by the goal of finding a more accurate description of the empirically observed dynamics of financial fluctuations, we propose a stochastic process that yields three statistical properties: (i) short-range autocorrelations in the index changes, (ii) long-range correlations in the absolute values of the index changes, with a crossover between two power-law regimes at approximately one week, and (iii) power-law stability in the tails of the probability distributions of the index changes. We find that this stochastic process can surprisingly well reproduce statistical properties observed in the high-frequency data of the S&P 500 stock index.

Keywords: Stochastic processes; Random walks and Levy flight econophysics (search for similar items in EconPapers)
Date: 2002
References: View complete reference list from CitEc
Citations: View citations in EconPapers (9)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437102010233
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:316:y:2002:i:1:p:153-159

DOI: 10.1016/S0378-4371(02)01023-3

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().