Self-similar approach to market analysis

Authors
Citation
Vi. Yukalov, Self-similar approach to market analysis, EUR PHY J B, 20(4), 2001, pp. 609-617
Citations number
39
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
EUROPEAN PHYSICAL JOURNAL B
ISSN journal
14346028 → ACNP
Volume
20
Issue
4
Year of publication
2001
Pages
609 - 617
Database
ISI
SICI code
1434-6028(200104)20:4<609:SATMA>2.0.ZU;2-2
Abstract
A novel approach to analyzing time series generated by complex systems. suc h as: markets, is presented. The basic idea of the approach is the Law of S elf-Similar Evolution, according to which any complex system develops self- similarly. There always exist some internal laws governing tile evolution o f a system, say of a market, so that each of such systems possesses its own character regulating its behaviour. The problem is how to discover these h idden internal laws defining the system character. This problem can be solv ed by employing the self-similar approximation theory which supplies the ma thematical foundation for the law of self-similar evolution. In this report , the theoretical basis of the new approach to analyzing time series is for mulated, with an accurate explanation of its principal points.