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Theory and Methods

Estimation for General Birth-Death Processes

Pages 730-747 | Received 01 Jul 2012, Published online: 13 Jun 2014

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Simon Tavaré. (2019) The linear birth‒death process: an inferential retrospective. Advances in Applied Probability 50:A, pages 253-269.
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Richard J. Boys, Holly F. Ainsworth & Colin S. Gillespie. (2018) Bayesian inference for a partially observed birth–death process using data on proportions. Australian & New Zealand Journal of Statistics 60:2, pages 157-173.
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Lam Si Tung Ho, Jason Xu, Forrest W. Crawford, Vladimir N. Minin & Marc A. Suchard. (2017) Birth/birth-death processes and their computable transition probabilities with biological applications. Journal of Mathematical Biology 76:4, pages 911-944.
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Forrest W. Crawford, Lam Si Tung Ho & Marc A. Suchard. (2018) Computational methods for birth‐death processes. WIREs Computational Statistics 10:2.
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Yiyi Liu & Forrest W. Crawford. (2018) Estimating dose-specific cell division and apoptosis rates from chemo-sensitivity experiments. Scientific Reports 8:1.
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Michael A. GilAndrew M. Hein. (2017) Social interactions among grazing reef fish drive material flux in a coral reef ecosystem. Proceedings of the National Academy of Sciences 114:18, pages 4703-4708.
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Forrest W. Crawford, Timothy C. Stutz & Kenneth Lange. (2016) Coupling bounds for approximating birth–death processes by truncation. Statistics & Probability Letters 109, pages 30-38.
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Jason Xu, Peter Guttorp, Midori Kato-Maeda & Vladimir N. Minin. (2015) Likelihood-Based Inference for Discretely Observed Birth–Death-Shift Processes, with Applications to Evolution of Mobile Genetic Elements. Biometrics 71:4, pages 1009-1021.
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Forrest W. Crawford, Robert E. Weiss & Marc A. Suchard. (2015) Sex, lies and self-reported counts: Bayesian mixture models for heaping in longitudinal count data via birth–death processes. The Annals of Applied Statistics 9:2.
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