EN
Asymptotic approach to boundary functionals of a semi-markovian random walk with generalized delaying barrier
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
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
May 26, 2016
Submission Date
January 1, 2013
Acceptance Date
-
Published in Issue
Year 2013 Volume: 1
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.Tahir Khaniyev, Ali Akbar Fattahpour Marandi, İhsan Ünver, Özlem Ardıç. 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