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
@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
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
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.