Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.spa.2012.07.004
Title: Total variation approximation for quasi-equilibrium distributions, II
Authors: Barbour, A.D. 
Pollett, P.K.
Keywords: Quasi-stationary distributions
Stochastic logistic model
Total variation distance
Issue Date: Nov-2012
Citation: Barbour, A.D., Pollett, P.K. (2012-11). Total variation approximation for quasi-equilibrium distributions, II. Stochastic Processes and their Applications 122 (11) : 3740-3756. ScholarBank@NUS Repository. https://doi.org/10.1016/j.spa.2012.07.004
Abstract: Quasi-stationary distributions have been used in biology to describe the steady state behaviour of Markovian population models which, while eventually certain to become extinct, nevertheless maintain an apparent stochastic equilibrium for long periods. However, they have substantial drawbacks; a Markov process may not possess any, or may have several, and their probabilities can be very difficult to determine. Here, we consider conditions under which an apparent stochastic equilibrium distribution can be identified and computed, irrespective of whether a quasi-stationary distribution exists, or is unique; we call it a quasi-equilibrium distribution. The results are applied to multi-dimensional Markov population processes. © 2012 Elsevier B.V. All rights reserved.
Source Title: Stochastic Processes and their Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/125021
ISSN: 03044149
DOI: 10.1016/j.spa.2012.07.004
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