Turkish Journal of Mathematics and Computer Science

Turkish Journal of Mathematics and Computer Science

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

Yazarlar: Tahir Khaniyev, Ali Akbar Fattahpour Marandi, İhsan Ünver, Özlem Ardıç

Cilt 1 , Sayı - , 2013 , Sayfalar 44 - 53

Konular:Mühendislik

Anahtar Kelimeler:Semi- Markovian random walk,Delaying barrier,Boundary functional,Asymptotic expansion,Renewal function,Ladder height

Özet: 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.


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BibTex
KOPYALA
@article{2013, title={Asymptotic approach to boundary functionals of a semi-markovian random walk with generalized delaying barrier}, volume={1}, publisher={Turkish Journal of Mathematics and Computer Science}, author={Tahir Khaniyev,Ali Akbar Fattahpour Marandi,İhsan Ünver,Özlem Ardıç}, year={2013}, pages={44–53} }
APA
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Tahir Khaniyev,Ali Akbar Fattahpour Marandi,İhsan Ünver,Özlem Ardıç. (2013). Asymptotic approach to boundary functionals of a semi-markovian random walk with generalized delaying barrier (Vol. 1, pp. 44–53). Vol. 1, pp. 44–53. Turkish Journal of Mathematics and Computer Science.
MLA
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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. Turkish Journal of Mathematics and Computer Science, 2013, pp. 44–53.