Kazan Federal University Digital Repository

Self-similarity principle: The reduced description of randomness

Show simple item record

dc.contributor.author Nigmatullin R.
dc.contributor.author Machado J.
dc.contributor.author Menezes R.
dc.date.accessioned 2018-09-18T20:27:55Z
dc.date.available 2018-09-18T20:27:55Z
dc.date.issued 2013
dc.identifier.issn 1895-1082
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/140166
dc.description.abstract A new general fitting method based on the Self-Similar (SS) organization of random sequences is presented. The proposed analytical function helps to fit the response of many complex systems when their recorded data form a self-similar curve. The verified SS principle opens new possibilities for the fitting of economical, meteorological and other complex data when the mathematical model is absent but the reduced description in terms of some universal set of the fitting parameters is necessary. This fitting function is verified on economical (price of a commodity versus time) and weather (the Earth's mean temperature surface data versus time) and for these nontrivial cases it becomes possible to receive a very good fit of initial data set. The general conditions of application of this fitting method describing the response of many complex systems and the forecast possibilities are discussed. © 2013 Versita Warsaw and Springer-Verlag Wien.
dc.relation.ispartofseries Central European Journal of Physics
dc.subject complex systems
dc.subject fit of economical and weather data series
dc.subject self-similar (fractal) processes
dc.subject solutions of the functional quations
dc.title Self-similarity principle: The reduced description of randomness
dc.type Article
dc.relation.ispartofseries-issue 6
dc.relation.ispartofseries-volume 11
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 724
dc.source.id SCOPUS18951082-2013-11-6-SID84885349973


Files in this item

This item appears in the following Collection(s)

  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

Show simple item record

Search DSpace


Advanced Search

Browse

My Account

Statistics