Complex and composite entropy fluctuation behaviors of statistical physics interacting financial model
Shenzhou Zheng and
Physica A: Statistical Mechanics and its Applications, 2019, vol. 517, issue C, 97-113
In an attempt to investigate and reproduce the fluctuation dynamics of price changes in financial markets, a novel complex random interacting financial price model is developed by combining voter interacting system with compound Poisson process. In this model, the dissemination of investors’ investment attitudes can simulate normal and frequent small price fluctuations of financial markets, while the random drastic jumps can capture undue and rare large price fluctuations as results of sudden economic events and political events in the markets. In order to verify the rationality of the model, some statistical characteristics of the model returns including fat-tail, power-law scaling, complexity and multifractal are compared with real returns by probability density functions, composite distance fuzzy entropy (C-FuzzyEn), matching energy and multifractal detrended fluctuation analysis. The C-FuzzyEn is a new entropy-based approach, based on fuzzy entropy and complexity-invariant, to measure the complexity behaviors of return series. The effectiveness analysis of C-FuzzyEn indicates that it has a higher estimation accuracy and stronger robustness than fuzzy entropy. The empirical results show that the price model is able to reproduce some important statistical properties of financial markets to a certain extent, and the complexity of returns for the proposed model increases when infection intensity or jump intensity increases.
Keywords: Complex interacting financial model; Voter interacting system; Compound Poisson process; Complexity analysis; Composite distance fuzzy entropy; Matching energy (search for similar items in EconPapers)
References: View references in EconPapers View complete reference list from CitEc
Citations Track citations by RSS feed
Downloads: (external link)
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
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:517:y:2019:i:c:p:97-113
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 Dana Niculescu ().