Masuyama (2011) obtained the subexponential asymptotics of the stationary distribution of an M/G/1 type Markov chain under the assumption related to the periodic structure of G-matrix. In this note, we improve Masuyama's result by showing that the subexponential asymptotics holds without the assumption related to the periodic structure of G-matrix.
- M/G/1 type Markov chain
- Stationary distribution
- Subexponential asymptotics
ASJC Scopus subject areas
- Management Science and Operations Research
- Modelling and Simulation
- Information Systems and Management