Mathematica Eterna
Open Access

Abstract

Laplace Transformation of the Distribution of the Time of System Sojourns within a Band

T.I.Nasirova, U.Y.Kerimova and B.G.Shamilova

One of the important problems in probability theory is finding the distribution of the time of the sojourn of a system (a process) within a specified band. With this purpose, we will investigate the semi-Markov random processes with positive tendency, negative jumps and delaying boundary at zero in this article.The Laplace transformation of the distribution of the time of the system sojourn within a given band found