Pregled bibliografske jedinice broj: 411547
Limit theorems for the inductive mean on metric trees
Limit theorems for the inductive mean on metric trees // Journal of applied probability, 47 (2010), 4; 1136-1149 doi:10.1239/jap/1294170525 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 411547 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Limit theorems for the inductive mean on metric trees
Autori
Basrak, Bojan
Izvornik
Journal of applied probability (0021-9002) 47
(2010), 4;
1136-1149
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
limit theorems ; binary trees ; global NPC spaces ; inductive means ; convergence in distribution
Sažetak
In 2003 Sturm proved that the barycenter of the probability distribution on metric spaces with non-positive curvature can be consistently estimated by inductive sample means. In this article we consider the limiting behavior of these means in the case of metric trees. Our main result presents the asymptotic distribution for the inductive means and shows that it exhibits a phase transition phenomenon for certain changes of the underlying distribution. Moreover, for this particular case, the paper relaxes necessary conditions for the strong law of large numbers obtained by Sturm.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372790-2800 - Statistička analiza slučajnih modela i primjene (Huzak, Miljenko, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Bojan Basrak
(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
