Turkish Journal of Mathematics
DOI
-
Abstract
In this study, a semi-Markovian random walk with delaying screen at (\beta > O and the first crossing time ('\gamma1) of the zero level of this process are constructed. Furthermore, the distribution function with its Laplace transform, expected value and variance of random variable (\gamma1) are calculated. In addition to these, a formula for the higher order moments of ('\gamma1) is given.
Keywords
Semi-Markovian random walk, reflecting and delaying screens.
First Page
257
Last Page
268
Recommended Citation
KHANIEV, Tahir A. and ÜNVER, İhsan (1997) "The Study of the Level Zero Crossing Time of a Semi-Markovian Random Walk With Delaying Screen," Turkish Journal of Mathematics: Vol. 21: No. 3, Article 1. Available at: https://journals.tubitak.gov.tr/math/vol21/iss3/1