### Impacto

Artalejo, Jesús R.
(2012)
*On the time to extinction from quasi-stationarity: A unified approach.*
Physica A: Statistical Mechanics and its Applications, 391
(19).
pp. 4483-4486.
ISSN 0378-4371

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Official URL: http://www.sciencedirect.com/science/article/pii/S0378437112003603

## Abstract

This note provides a unified approach to the distribution of the time to extinction from quasi-stationarity for general Markov chains evolving both in discrete and in continuous time. Our results generalize a number of similar derivations which were established ad hoc for a variety of stochastic epidemic models. On the other hand, the obtained results unify the infinite irreducible case and the finite (reducible or irreducible) case which are typically presented under separate formulations in the literature for Markov chains.

Item Type: | Article |
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Uncontrolled Keywords: | Time to extinction; Quasi-stationarity; Epidemic; Markov chain |

Subjects: | Sciences > Mathematics > Mathematical statistics |

ID Code: | 16316 |

References: |
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Deposited On: | 11 Sep 2012 09:18 |

Last Modified: | 11 Sep 2012 09:18 |

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