A semi-Markovian renewal reward process with \Gamma(g) distributed demand

2020 Turkish Journal of Mathematics  
We consider a classical semi-Markovian stochastic model of type (s, S) with Logistic distributed demand 4 random variables. Logistic distribution is a member of special distribution class known as Γ(g) that encounters in 5 many real life applications involving extreme value theory. The objective of this study is to observe some major 6 characteristics of a stochastic process X(t) which represents semi-Markovian renewal reward process of type (s, S) . 7 We used new approximation results for
more » ... on results for renewal function, that allow us to obtain three terms asymptotic expansion for 8 ergodic distribution function and for n th order moments of ergodic distribution of the process X(t) . 9
doi:10.3906/mat-2002-72 fatcat:3qj324zthnhybfe2yf347jy53q