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The quasi-stationary behavior of quasi-birth-and-death processes

The quasi-stationary behavior of quasi-birth-and-death processes

For evanescent Markov processes with a single transient communicating class, it is often of interest to examine the limiting probabilities that the process resides in the various transient states, conditional on absorption not having taken place. Such distributions are known as quasi-stationary (or limiting-conditional) distributions. In this paper we consider …