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Journals / Turkish Journal of Mathematics and Computer Science / 2015 / Volume: 3 Issue: 1

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

Tahir Khaniyev
Başak Gever
Zulfiye Hanalioglu
Pages
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Publication Date
2016-05-26
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Next, the asymptotic expansions are obtained for the first four moments of these boundary functionals of the process X(t).

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, renewal - reward process with a generalized reflecting barrier (X(t)) and its three boundary functionals are mathematically constructed.
📊
Key Findings & Data:In this study, renewal - reward process with a generalized reflecting barrier (X(t)) and its three boundary functionals are mathematically constructed.
💡
Conclusion & Impact:Next, the asymptotic expansions are obtained for the first four moments of these boundary functionals of the process X(t).
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Renewal - reward process · Boundary functional · Asymptotic expansion

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).

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Cite This Article

Khaniyev, T., Gever, B., Hanalioglu, Z. (2016). Investigation of Boundary Functionals for Renewal-Reward Process with a Generalized Reflecting Barrier. Turkish Journal of Mathematics and Computer Science, Volume: 3 Issue: 1. https://ajindex.com/articles/1324977

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