Investigation of Laplace transforms for Erlangen distribution of the first passage of zero level of the semi-Markov random process with positive tendency and negative jump

Abstract

Real physics and some technical issues describing with semi-Markov random process. We would like to describe one type of semi-Markov random process in introducing paper. The first passage of the zero level of this process will be included as a random variable. The parameters of the distribution will be calculated on the basis of the final results.