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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

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