Distribution of the Lower Boundary Functional of the Step Process of Semi-Markov Random Walk with Delaying Barrier

Selahattin Maden

Abstract


In this paper, a step process of semi-Markovian random walk with delaying barrier on the zero-level is constructed and the Laplace transformation of the distribution of first crossing time of this process into the delaying barrier is obtained. Also, the expectation and standard diversion of a boundary functional of the process are given.


Keywords


Semi-Markovian Random Walk, Delaying Screen, Laplace Transformation.

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DOI: http://dx.doi.org/10.7212%2Fzkufbd.v8i2.1157

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