Dergiler / Turkish Journal of Mathematics / 2001 / Cilt: 25 - Sayı: 2

On the Semi-Markovian Random Walk Process with Reflecting and Delaying Barrriers

Sayfa
263–274
DOI
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Özet

In this paper, a semi-Markovian random walk process X(t) with reflecting barrier on the zero-level and delaying barrier on the b(b>0 )-level and the first falling moment of the process into the delaying barrier, (g), are considered. Some probability characteristics of g , such as its distribution function, moment generating function and expected value are calculated.

Abstract

In this paper, a semi-Markovian random walk process X(t) with reflecting barrier on the zero-level and delaying barrier on the b(b>0 )-level and the first falling moment of the process into the delaying barrier, (g), are considered. Some probability characteristics of g , such as its distribution function, moment generating function and expected value are calculated.

Anahtar kelimeler: Semi-Markovian random walk, reflecting barrier, delaying barrier, expected value.