Asymptotic results for the semi-markovian random walk with generalized beta distributed interference of chance

In this paper a semi-Markov random walk process (X(t)) with a generalized beta distributed of chance is considered. X(t) is constructed mathematically and exact formulas for the first four moments of the ergodic distribution of the process are obtained. Using these expressions the asymptotic expansions for the first four moments of the ergodic distribution of the process are found as E(ζ_n )→∞ when the random variable ζ_n has a generalized beta distribution with parameters (s,S,α,β), 0Keyword: Asimptotik = Asymptotic ; Beta = Beta