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Dergiler / TWMS Journal of Applied and Engineering Mathematics / 2012 / Volume: 2 Issue: 2

ASYMPTOTIC EXPANSIONS FOR THE ERGODIC MOMENTS OF A SEMI-MARKOVIAN RANDOM WALK WITH A GENERALIZED DELAYING BARRIER

Tahir Khaniyev(Karadeniz Technical University, Department of Mathematics, 61080, Trabzon, Turkey)
Ali Akbar Fattahpour Marandi(TOBB University of Economics and Technology, Department of Industrial Engineering, Ankara, Turkey and Azerbaijan National Academy of Sciences, Institute of Cybernetics, Baku, Azerbaijan)
Ihsan Unver(Karadeniz Technical University, Department of Mathematics, 61080, Trabzon, Turkey)
Sayfa
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Yayın Tarihi
2012-12-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Then, the exact expressions and asymptotic expansions for the first four ergodic moments of the process X t are obtained

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, a semi-Markovian random walk process X t with a generalized delaying barrier is considered and the ergodic theorem for this process is proved under some weak conditions.
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Temel Bulgular & Veri:In this study, a semi-Markovian random walk process X t with a generalized delaying barrier is considered and the ergodic theorem for this process is proved under some weak conditions.
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Sonuç & Katkı:Then, the exact expressions and asymptotic expansions for the first four ergodic moments of the process X t are obtained
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Semi - Markovian random walk · delaying barrier · ergodic distribution

Abstract

In this study, a semi-Markovian random walk process X t with a generalized delaying barrier is considered and the ergodic theorem for this process is proved under some weak conditions. Then, the exact expressions and asymptotic expansions for the first four ergodic moments of the process X t are obtained

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Bu Makaleye Atıf Yap

Khaniyev, T., Marandi, A. A. F., Unver, I. (2012). ASYMPTOTIC EXPANSIONS FOR THE ERGODIC MOMENTS OF A SEMI-MARKOVIAN RANDOM WALK WITH A GENERALIZED DELAYING BARRIER. TWMS Journal of Applied and Engineering Mathematics, Volume: 2 Issue: 2. https://ajindex.com/articles/1604696

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Kaynakça (13)

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