Total Variation Approximation for Quasi-Stationary Distributions

Content Provider	Scilit
Author	Barbour, A. D. Pollett, P. K.
Copyright Year	2010
Description	Quasi-stationary distributions, as discussed in Darroch and Seneta (1965), have been used in biology to describe the steady state behaviour of population models which, while eventually certain to become extinct, nevertheless maintain an apparent stochastic equilibrium for long periods. These distributions have some drawbacks: they need not exist, nor be unique, and their calculation can present problems. In this paper, we give biologically plausible conditions under which the quasi-stationary distribution is unique, and can be closely approximated by distributions that are simple to compute.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/33A02717E4C925ECAB57E679B9C052CF/S0021900200007270a.pdf/total-variation-approximation-for-quasi-stationary-distributions.pdf
Ending Page	946
Page Count	13
Starting Page	934
ISSN	00219002
e-ISSN	14756072
DOI	10.1017/s0021900200007270
Journal	Journal of applied probability
Issue Number	4
Volume Number	47
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2010-12-01
Access Restriction	Open
Subject Keyword	Journal of applied probability Statistics and Probability stationary Distribution Total Variation Distance Stochastic Logistic Model
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistics, Probability and Uncertainty