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Geomatric ergodicity and quasi-stationarity in discrete-time birth-death processes

Geomatric ergodicity and quasi-stationarity in discrete-time birth-death processes

Abstract We study two aspects of discrete-time birth-death processes, the common feature of which is the central role played by the decay parameter of the process. First, conditions for geometric ergodicity and bounds for the decay parameter are obtained. Then the existence and structure of quasi-stationary distributions are discussed. The …