Journals / Ordu Üniversitesi Bilim ve Teknoloji Dergisi / 2016 / Cilt: 6 Sayı: 2
The Laplace Transform For The Ergodic Distribution Of A Semi- Markovian Random Walk Process With Reflecting And Delaying Barriers
- Pages
- 243–256
- DOI
- —
Abstract
In this paper, a semi-Markovian random walk process with reflecting barrier on the zero-level anddelaying barrier on the ) 0 ( -level is constructed and the the Laplace transform for the ergodicdistribution of this process is expressed by means of the probability characteristics of random walk {𝑌𝑛: 𝑛 ≥ 1}and renewal process {𝑇𝑛: 𝑛 ≥ 1}.
Özet
In this paper, a semi-Markovian random walk process with reflecting barrier on the zero-level anddelaying barrier on the ) 0 ( -level is constructed and the the Laplace transform for the ergodicdistribution of this process is expressed by means of the probability characteristics of random walk {𝑌𝑛: 𝑛 ≥ 1}and renewal process {𝑇𝑛: 𝑛 ≥ 1}.