A note on the tail behavior of randomly weighted and stopped dependent sums

Autor: Lina Dindienė, Remigijus Leipus
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Nonlinear Analysis, Vol 20, Iss 2 (2015)
Druh dokumentu: article
ISSN: 1392-5113
2335-8963
DOI: 10.15388/NA.2015.2.8
Popis: In this paper, we deal with the tail behavior of the maximum of randomly weighted and stopped sums. We assume that primary random variables (with a certain dependence structure) are identically distributed with heavy-tailed distribution function and random weights are nonnegative. In this note, we specify some conditions for the (weak) asymptotics of the tail of random maximum.
Databáze: Directory of Open Access Journals