Abstract
Abstract For some absorbing chains the time to absorption may be sufficiently long to allow a certain type of stationarity (called quasi-stationary) to set in transient states. In this paper we derive the quasi-stationary distribution of absorbing Markov chains with absorbing subchains and study the different types of unconditional quasi-stationary distributions when the absorbing subchain is not regarded as a single absorbing state, using the method of limiting conditional probabilities. The problem of quasi-stationarity have been motivated by some biological research.
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