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Pregled bibliografske jedinice broj: 1045817

A note on vague convergence of measures


Basrak, Bojan; Planinić, Hrvoje
A note on vague convergence of measures // Statistics & probability letters, 153 (2019), 180-186 doi:10.1016/j.spl.2019.06.004 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 1045817 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
A note on vague convergence of measures

Autori
Basrak, Bojan ; Planinić, Hrvoje

Izvornik
Statistics & probability letters (0167-7152) 153 (2019); 180-186

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Boundedly finite measures ; Vague convergence ; Random measures ; Convergence in distribution ; Lipschitz continuous functions

Sažetak
We propose a new approach to vague convergence of measures based on the general theory of boundedness due to Hu (1966). The article explains how this connects and unifies several frequently used types of vague convergence from the literature. Such an approach allows one to translate already developed results from one type of vague convergence to another. We further analyze the corresponding notion of vague topology and give a new and useful characterization of convergence in distribution of random measures in this topology.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
CSRP 2018-01-180549
HRZZ-IP-2013-11-3526 - Stohastičke metode u analitičkim i primijenjenim problemima (SMAAP) (Vondraček, Zoran, HRZZ - 2013-11) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Bojan Basrak (autor)

Avatar Url Hrvoje Planinić (autor)

Citiraj ovu publikaciju:

Basrak, Bojan; Planinić, Hrvoje
A note on vague convergence of measures // Statistics & probability letters, 153 (2019), 180-186 doi:10.1016/j.spl.2019.06.004 (međunarodna recenzija, članak, znanstveni)
Basrak, B. & Planinić, H. (2019) A note on vague convergence of measures. Statistics & probability letters, 153, 180-186 doi:10.1016/j.spl.2019.06.004.
@article{article, author = {Basrak, Bojan and Planini\'{c}, Hrvoje}, year = {2019}, pages = {180-186}, DOI = {10.1016/j.spl.2019.06.004}, keywords = {Boundedly finite measures, Vague convergence, Random measures, Convergence in distribution, Lipschitz continuous functions}, journal = {Statistics and probability letters}, doi = {10.1016/j.spl.2019.06.004}, volume = {153}, issn = {0167-7152}, title = {A note on vague convergence of measures}, keyword = {Boundedly finite measures, Vague convergence, Random measures, Convergence in distribution, Lipschitz continuous functions} }
@article{article, author = {Basrak, Bojan and Planini\'{c}, Hrvoje}, year = {2019}, pages = {180-186}, DOI = {10.1016/j.spl.2019.06.004}, keywords = {Boundedly finite measures, Vague convergence, Random measures, Convergence in distribution, Lipschitz continuous functions}, journal = {Statistics and probability letters}, doi = {10.1016/j.spl.2019.06.004}, volume = {153}, issn = {0167-7152}, title = {A note on vague convergence of measures}, keyword = {Boundedly finite measures, Vague convergence, Random measures, Convergence in distribution, Lipschitz continuous functions} }

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


Citati:





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