A note on randomly stopped sums with zero mean increments

In this paper, the asmptotics is considered for the distribution tail of a randomly stopped sum ${S_{\nu }}={X_{1}}+\cdots +{X_{\nu }}$ of independent identically distributed consistently varying random variables with zero mean, where ν is a counting random variable independent of $\{{X_{1}},{X_{2}}...

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Bibliographic Details
Main Authors: Remigijus Leipus, Jonas Šiaulys
Format: Article
Language:English
Published: VTeX 2023-12-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://www.vmsta.org/doi/10.15559/23-VMSTA236