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Computable Bounds for the Decay Parameter of a Birth–Death Process

  • David Sirl (a1), Hanjun Zhang (a1) and Phil Pollett (a1)

Abstract

We present bounds on the decay parameter for absorbing birth–death processes adapted from results of Chen (2000), (2001). We address numerical issues associated with computing these bounds, and assess their accuracy for several models, including the stochastic logistic model, for which estimates of the decay parameter have been obtained previously by Nåsell (2001).

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Copyright

Corresponding author

Postal address: Department of Mathematics, The University of Queensland, Brisbane, QLD 4072, Australia.
∗∗ Email address: dsirl@maths.uq.edu.au
∗∗∗ Email address: hjz@maths.uq.edu.au
∗∗∗∗ Email address: pkp@maths.uq.edu.au

References

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Computable Bounds for the Decay Parameter of a Birth–Death Process

  • David Sirl (a1), Hanjun Zhang (a1) and Phil Pollett (a1)

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