The Laplace Transform For The Ergodic Distribution Of A Semi- Markovian Random Walk Process With Reflecting And Delaying Barriers
Abstract
In this paper, a semi-Markovian random walk process with reflecting barrier on the zero-level and
delaying barrier on the ) 0 ( -level is constructed and the the Laplace transform for the ergodic
distribution of this process is expressed by means of the probability characteristics of random walk {𝑌𝑛: 𝑛 ≥ 1}
and renewal process {𝑇𝑛: 𝑛 ≥ 1}.
References
- Afanas’eva, L.G., bulinskaya, E.V., ‘Some asymptotical results for random walks in a strip’ Teor. Veroyatn. Primen. 29, 4, 658-668 (1983).
The Laplace Transform For The Ergodic Distribution Of A Semi- Markovian Random Walk Process With Reflecting And Delaying Barriers
Abstract
In this paper, a semi-Markovian random walk process with reflecting barrier on the zero-level and
delaying barrier on the ) 0 ( -level is constructed and the the Laplace transform for the ergodic
distribution of this process is expressed by means of the probability characteristics of random walk {𝑌𝑛: 𝑛 ≥ 1}
and renewal process {𝑇𝑛: 𝑛 ≥ 1}.
References
- Afanas’eva, L.G., bulinskaya, E.V., ‘Some asymptotical results for random walks in a strip’ Teor. Veroyatn. Primen. 29, 4, 658-668 (1983).
There are 1 citations in total.
Details
| Journal Section | Review Articles |
|---|---|
| Authors | |
| Publication Date | December 29, 2016 |
| Submission Date | January 25, 2017 |
| Published in Issue | Year 2016 Cilt: 6 Sayı: 2 |