Total variation approximation for quasi-equilibrium distributions, II

Details Total variation approximation for quasi-equilibrium distributions, II Total variation approximation for quasi-equilibrium distributions, II

2011-05-31

arxiv.org/abs/1105.6187v1

Mathematics

Probability

22 pages

Scientific paper

Quasi-stationary distributions, as discussed by Darroch & 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 an earlier paper, we gave biologically plausible conditions under which the quasi-stationary distribution is unique, and can be closely approximated by distributions that are simple to compute. In this paper, we consider conditions under which the quasi-stationary distribution, if it exists, need not be unique, but an apparent stochastic equilibrium can nonetheless be identified and computed; we call such a distribution a quasi-equilibrium distribution.

Affiliated with

Also associated with

No associations

Rating

Total variation approximation for quasi-equilibrium distributions, II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Total variation approximation for quasi-equilibrium distributions, II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Total variation approximation for quasi-equilibrium distributions, II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-337768