Exact asymptotics of the stationary tail probabilities in an arbitrary direction in a two-dimensional discrete-time QBD process

Toshihisa Ozawa

We deal with a discrete-time two-dimensional quasi-birth-and-death process (2d-QBD process for short) on ${\mathbb{Z}}_{+}^2\times S_0$, where $S_0$ is a finite set, and give a complet…