Exact asymptotic formulae of the stationary distribution of a discrete-time two-dimensional QBD process

Toshihisa Ozawa, Masahiro Kobayashi

We consider a discrete-time two-dimensional process $\{(L_{1,n},L_{2,n})\}$ on ${\mathbb{Z}}_{+}^2$ with a supplemental process $\{J_n\}$ on a finite set, where individual processes $\…