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Renewal theorems for the i.i.d. cluster point processes


Basrak, Bojan; Dajaković, Marina
Renewal theorems for the i.i.d. cluster point processes // Regular Variation and Related Themes
Dubrovnik, Hrvatska, 2021. (predavanje, podatak o recenziji nije dostupan, neobjavljeni rad, znanstveni)


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Naslov
Renewal theorems for the i.i.d. cluster point processes

Autori
Basrak, Bojan ; Dajaković, Marina

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Regular Variation and Related Themes

Mjesto i datum
Dubrovnik, Hrvatska, 08.11.2021. - 11.11.2021

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Podatak o recenziji nije dostupan

Ključne riječi
cluster point process, renewal theory, stationary cluster process

Sažetak
In this talk we consider i.i.d. cluster point processes on the real line and give, under certain conditions, variants of the classical renewal theorems (Blackwell's theorem and the key renewal theorem). Furthermore, we prove the extension of the renewal theorem, namely that shifted i.i.d. cluster point process converges in distribution to the stationary i.i.d. cluster process, with respect to the vague topology.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Marina Dajaković (autor)

Avatar Url Bojan Basrak (autor)

Poveznice na cjeloviti tekst rada:

web.math.pmf.unizg.hr web.math.pmf.unizg.hr

Citiraj ovu publikaciju:

Basrak, Bojan; Dajaković, Marina
Renewal theorems for the i.i.d. cluster point processes // Regular Variation and Related Themes
Dubrovnik, Hrvatska, 2021. (predavanje, podatak o recenziji nije dostupan, neobjavljeni rad, znanstveni)
Basrak, B. & Dajaković, M. (2021) Renewal theorems for the i.i.d. cluster point processes. U: Regular Variation and Related Themes.
@article{article, author = {Basrak, Bojan and Dajakovi\'{c}, Marina}, year = {2021}, keywords = {cluster point process, renewal theory, stationary cluster process}, title = {Renewal theorems for the i.i.d. cluster point processes}, keyword = {cluster point process, renewal theory, stationary cluster process}, publisherplace = {Dubrovnik, Hrvatska} }
@article{article, author = {Basrak, Bojan and Dajakovi\'{c}, Marina}, year = {2021}, keywords = {cluster point process, renewal theory, stationary cluster process}, title = {Renewal theorems for the i.i.d. cluster point processes}, keyword = {cluster point process, renewal theory, stationary cluster process}, publisherplace = {Dubrovnik, Hrvatska} }




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