SELAHATTIN MADEN

The Laplace Transform of The One-Dimensional Distribution Function of a Semi-Markovian Random Walk Process with Reflecting and Delaying Barriers

Başlangıç: 2009
Yayıncı: E-Journal of New World Sciences Academy

In this paper, a semi-Markovian random walk process with reflecting barrier on the zero-level and delaying barrier on the B(B>0) -level is constructed and the the Laplace transform of the one-dimensional distribution function of this process is expressed by means of the probability characteristics of random walk and renewal process

Anahtar Kelimeler:

Semi-Markovian random walk, , reflecting barrier, delaying barrier, one-dimensional distribution function, Laplace transform,

YANSITAN VE TUTAN BARİYERLİ YARI-MARKOV RASGELE YÜRÜYÜŞ SÜRECİNİN BİR BOYUTLU DAĞILIM FONKSİYONUNUN LAPLACE DÖNÜŞÜMÜ

BU ÇALIŞMADA SIFIR SEVİYESİNDE YANSITAN VE TUTAN BARİYERLİ BİR YARI MARKOV RASGELE YÜRÜYÜŞ SÜRECİ İNŞA EDİLMİŞ VE BU SÜRECİN BİR BOYUTLU DAĞILIM FONKSİYONUNUN LAPLACE DÖNÜŞÜMÜ BİR YENİLEME SÜRECİ İLE BİR RASGELE YÜRÜYÜŞ SÜRECİNİN OLASILIK KARAKTERİSTİKLERİ YARDIMIYLA İFADE EDİLMYİTİR.

Keywords: