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

Autor: Basrak, Bojan, Dajaković, Marina
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Popis: 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.
Databáze: OpenAIRE