Pregled bibliografske jedinice broj: 833104
Intermittency of superpositions of Ornstein-Uhlenbeck type processes
Intermittency of superpositions of Ornstein-Uhlenbeck type processes // Journal of statistical physics, 165 (2016), 2; 390-408 doi:10.1007/s10955-016-1616-7 (međunarodna recenzija, članak, znanstveni)
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Naslov
Intermittency of superpositions of Ornstein-Uhlenbeck type processes
Autori
Grahovac, Danijel ; Leonenko, Nikolai ; Sikorski, Alla ; Tešnjak, Irena
Izvornik
Journal of statistical physics (0022-4715) 165
(2016), 2;
390-408
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Ornstein-Uhlenbeck type processes ; intermittency ; long range dependence ; weak convergence
Sažetak
The phenomenon of intermittency has been widely discussed in physics literature. This paper provides a model of intermittency based on Lévy driven OrnsteinUhlenbeck (OU) type processes. Discrete superpositions of these processes can be constructed to incorporate non-Gaussian marginal distributions and long or short range dependence. While the partial sums of finite superpositions of OU type processes obey the central limit theorem, we show that the partial sums of a large class of infinite long range dependent superpositions are intermittent. We discuss the property of intermittency and behavior of the cumulants for the superpositions of OU type processes.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-3933 - Razvoj i upotreba modela za procjenu potencijala za rast za mala i srednja poduzeća u Hrvatskoj (CROSMEGROWTH) (Šarlija, Nataša, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
Profili:
Danijel Grahovac
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts