Investigation of Boundary Functionals for Renewal-Reward Process with a Generalized Reflecting Barrier

Year 2015, Volume 3, 2015, 1 - 14, 26.05.2016

Tahir Khaniyev , Başak Gever Zulfiye Hanalioglu

Abstract

In this study, renewal - reward process with a generalized reflecting barrier (X(t)) and its three boundary functionals are mathematically constructed. Next, the asymptotic expansions are obtained for the first four moments of these boundary functionals of the process X(t).

Keywords

Renewal - reward process, Boundary functional, Asymptotic expansion, Reflecting barrier.

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