Affordable Access

On the equivalence of [mu]-invariant measures for the minimal process and its q-matrix



In this paper we obtain necessary and sufficient conditions for a measure or vector that is [mu]-invariant for a q-matrix, Q, to be [mu]-invariant for the family of transition matrices, {P(t)}, of the minimal process it generates. Sufficient conditions are provided in the case when Q is regular and these are shown not to be necessary. When [mu]-invariant measures and vectors can be identified, they may be used, in certain cases, to determine quasistationary distributions for the process.

There are no comments yet on this publication. Be the first to share your thoughts.