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Article Details

  • Article Code : NWSA-5100-2899
  • Article Type : Araştırma Makalesi
  • Publication Number : 3A0059
  • Page Number : 129-136
  • Doi : 10.12739/
  • Abstract Reading : 1076
  • Download : 131
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Issue Details

  • Year : 2012
  • Volume : 7
  • Issue : 4
  • Number of Articles Published : 3
  • Published Date : 1.10.2012

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Physical Sciences

Serial Number : 3A
ISSN No. : 1308-7304
Release Interval (in a Year) : 4 Issues

YANSITAN VE TUTAN BARİYERLİ YARI-MARKOV RASTGELE YÜRÜYÜŞ SÜREÇLERİNİN LİMİT DAVRANIŞI

SELAHATTIN MADEN 1

Bu çalışmada, sıfır seviyesinde yansıtan ve β(β>0)-seviyesinde tutan bariyerli bir yarı-Markov rastgele yürüyüş süreci inşa edilmiştir. Ayrıca, bu tipten süreçler dizisi için limit teoremleri ispatlanmış ve bir örnek verilmiştir.

Keywords
Yarı-Markov Rastgele Yürüyüş Süreci, Yansıtan Bariyer, Tutan Bariyer, Limit Teoremi, Wiener Süreci,

THE LIMIT BEHAVIOUR OF SEMI-MARKOVIAN RANDOM WALK PROCESSES WITH REFLECTING AND DELAYING BARRIERS

SELAHATTIN MADEN 1

In this paper, a semi-Markovian random walk process with reflecting barrier on the zero-level and delaying barrier on the β(β>0)-level is constructed. Furthermore, the limit theorems for the sequence of this type processes have been proved and one example has been given.

Keywords
Semi-Markovian Random Walk Process, Reflecting Barrier, Delaying Barrier, Limit Theorem, Wiener process,

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SELAHATTIN MADEN (1) (Corresponding Author)

Ordu Üniversitesi
maden55@mynet.com

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