Dergiler / Ordu Üniversitesi Bilim ve Teknoloji Dergisi / 2017 / Cilt: 7 - Sayı: 1

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

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

Sayfa
33–41
DOI
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Özet

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.

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.

Anahtar kelimeler: Semi-Markov random walk process, Delaying barrier