TY  - JOUR
TI  - A semi-Markovian renewal reward process with Γ(g) distributed demand
AB  - We consider a classical semi-Markovian stochastic model of type (s, S) with Logistic distributed demandrandom variables. Logistic distribution is a member of special distribution class known as Γ(g) that encounters inmany real-life applications involving extreme value theory. The objective of this study is to observe some majorcharacteristics of a stochastic process X(t) which represents semi-Markovian renewal reward process of type (s, S).We used new approximation results for renewal function that allow us to obtain three-term asymptotic expansion forergodic distribution function and for $n^{th}$ order moments of ergodic distribution of the process X(t).
AU  - KESEMEN, Tülay
AU  - Alakoç, Büşra
AU  - KHANIYEV, Tahir
AU  - KAMIŞLIK, Aslı BEKTAŞ
DO  - 10.3906/mat-2002-72
PY  - 2020
JO  - Turkish Journal of Mathematics
VL  - 44
IS  - 4
SN  - 1300-0098
SP  - 1250
EP  - 1262
DB  - TRDizin
UR  - http://search/yayin/detay/354487
ER  -