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Asymptotic approach to boundary functionals of a semi-markovian random walk with generalized delaying barrier

Year 2013, Volume 1, 2013, 44 - 53, 26.05.2016

Tahir Khaniyev , Ali Akbar Fattahpour Marandi İhsan Ünver Özlem Ardıç

https://izlik.org/JA77UU85PX

Abstract

In this study, a semi-Markovian random walk process with a generalized delaying barrier and its three boundary functionals (N1; 1; 1) are mathematically constructed. Under some weak conditions, exact expressions and asymptotic expansions for the expected values and variances of these boundary functionals are obtained.

Keywords

Semi- Markovian random walk delaying barrier boundary functional asymptotic expansion renewal function ladder height

Year 2013, Volume 1, 2013, 44 - 53, 26.05.2016

Tahir Khaniyev , Ali Akbar Fattahpour Marandi İhsan Ünver Özlem Ardıç

https://izlik.org/JA77UU85PX

Abstract

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Details

Subjects Engineering
Journal Section Research Article
Authors

Tahir Khaniyev

Ali Akbar Fattahpour Marandi This is me

İhsan Ünver This is me

Özlem Ardıç This is me

Publication Date May 26, 2016
IZ https://izlik.org/JA77UU85PX
Published in Issue Year 2013 Volume 1, 2013

Cite

APA Khaniyev, T., Fattahpour Marandi, A. A., Ünver, İ., & Ardıç, Ö. (2016). Asymptotic approach to boundary functionals of a semi-markovian random walk with generalized delaying barrier. Turkish Journal of Mathematics and Computer Science, 1, 44-53. https://izlik.org/JA77UU85PX
AMA 1.Khaniyev T, Fattahpour Marandi AA, Ünver İ, Ardıç Ö. Asymptotic approach to boundary functionals of a semi-markovian random walk with generalized delaying barrier. TJMCS. 2016;1:44-53. https://izlik.org/JA77UU85PX
Chicago Khaniyev, Tahir, Ali Akbar Fattahpour Marandi, İhsan Ünver, and Özlem Ardıç. 2016. “Asymptotic Approach to Boundary Functionals of a Semi-Markovian Random Walk With Generalized Delaying Barrier”. Turkish Journal of Mathematics and Computer Science 1 (May): 44-53. https://izlik.org/JA77UU85PX.
EndNote Khaniyev T, Fattahpour Marandi AA, Ünver İ, Ardıç Ö (May 1, 2016) Asymptotic approach to boundary functionals of a semi-markovian random walk with generalized delaying barrier. Turkish Journal of Mathematics and Computer Science 1 44–53.
IEEE [1]T. Khaniyev, A. A. Fattahpour Marandi, İ. Ünver, and Ö. Ardıç, “Asymptotic approach to boundary functionals of a semi-markovian random walk with generalized delaying barrier”, TJMCS, vol. 1, pp. 44–53, May 2016, [Online]. Available: https://izlik.org/JA77UU85PX
ISNAD Khaniyev, Tahir - Fattahpour Marandi, Ali Akbar - Ünver, İhsan - Ardıç, Özlem. “Asymptotic Approach to Boundary Functionals of a Semi-Markovian Random Walk With Generalized Delaying Barrier”. Turkish Journal of Mathematics and Computer Science 1 (May 1, 2016): 44-53. https://izlik.org/JA77UU85PX.
JAMA 1.Khaniyev T, Fattahpour Marandi AA, Ünver İ, Ardıç Ö. Asymptotic approach to boundary functionals of a semi-markovian random walk with generalized delaying barrier. TJMCS. 2016;1:44–53.
MLA Khaniyev, Tahir, et al. “Asymptotic Approach to Boundary Functionals of a Semi-Markovian Random Walk With Generalized Delaying Barrier”. Turkish Journal of Mathematics and Computer Science, vol. 1, May 2016, pp. 44-53, https://izlik.org/JA77UU85PX.
Vancouver 1.Khaniyev T, Fattahpour Marandi AA, Ünver İ, Ardıç Ö. Asymptotic approach to boundary functionals of a semi-markovian random walk with generalized delaying barrier. TJMCS [Internet]. 2016 May 1;1:44-53. Available from: https://izlik.org/JA77UU85PX