Transient Probabilities of Homogeneous Row-Continuous Bivariate Markov Chains With One or Two Boundaries
Julian Keilson, Yasushi Masuda · 1998
Abstract This paper shows that row-continuous Markov chains with one or two boundaries have transient probabilities with matrix-geometric structure. Also explored is the relationship between the Green's function method and the matrix-geometric method of Neuts. A full probabilistic interpretation of transient rate matrices is given. 1.