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ON DISTRIBUTION OF A SEMI-MARKOV RANDOM WALK PROCESS WITH TWO DELAYING BARRIERS

Year 2017, Volume: 7 Issue: 1, 33 - 41, 30.06.2017

Abstract

In this paper,
a step process of semi-Markovian random walk with delaying barrier on the
zero-level from below and




















-level
from upper is constructed mathematically and the Laplace transformation for the
distribution function of this is given. Also, the expectation and standard
diversion of a boundary functional of the process are given.

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).

Afanas’eva, L. G., Bulinskaya, E. V., ‘Some asymptotical results for random walks in a strip’ Teor. Veroyatn. Primen. 29, 4, 658-668 (1983).

Year 2017, Volume: 7 Issue: 1, 33 - 41, 30.06.2017

Abstract

In this paper,
a step process of semi-Markovian random walk with delaying barrier on the
zero-level from below and




















-level
from upper is constructed mathematically and the Laplace transformation for the
distribution function of this is given. Also, the expectation and standard
diversion of a boundary functional of the process are given.

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

Primary Language English
Subjects Engineering
Journal Section Review Articles
Authors

Selahattin Maden

Publication Date June 30, 2017
Submission Date July 28, 2017
Published in Issue Year 2017 Volume: 7 Issue: 1

Cite

APA Maden, S. (2017). ON DISTRIBUTION OF A SEMI-MARKOV RANDOM WALK PROCESS WITH TWO DELAYING BARRIERS. Ordu Üniversitesi Bilim Ve Teknoloji Dergisi, 7(1), 33-41.