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

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

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

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,

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Turkish Journal of Mathematics and Computer Science-Cover
  • ISSN: 2148-1830
  • Yayın Aralığı: 2
  • Başlangıç: 2013
  • Yayıncı: MATEMATİKÇİLER DERNEĞİ
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