Randomly stopped sums with consistently varying distributions

Let $\{\xi _{1},\xi _{2},\dots \}$ be a sequence of independent random variables, and η be a counting random variable independent of this sequence. We consider conditions for $\{\xi _{1},\xi _{2},\dots \}$ and η under which the distribution function of the random sum $S_{\eta }=\xi _{1}+\xi _{2}+\cd...

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Bibliographic Details
Main Authors: Edita Kizinevič, Jonas Sprindys, Jonas Šiaulys
Format: Article
Language:English
Published: VTeX 2016-07-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://vmsta.vtex.vmt/doi/10.15559/16-VMSTA60