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

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Turkish Journal of Mathematics and Computer Science
Volume:1, 2013
Asymptotic approach to boundary functionals of a semi-markovian random walk with generalized delayin...

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

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

Pages : 44-53

View : 40 | Download : 14

Publication Date : 2016-05-26

Article Type : Research Paper

Abstract :In this study, a semi-Markovian random walk process with a generalized delaying barrier and its three boundary functionals insert ignore into journalissuearticles values(N1; 1; 1); are mathematically constructed. Under some weak conditions, exact ex pressions 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

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