Abstract
We investigate birth-and-death (B&D) processes tht are too complicated (in terms of the λ n and μ n rates) to have a full analytic solution. We settle for studying only their long-run behavior. Specifically, we are interested in finding either the corresponding stationary distribution or, when state 0 is absorbing (e.g., a population can go extinct), the probability of ultimate extinction.
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© 2013 Springer Science+Business Media, LLC
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Vrbik, J., Vrbik, P. (2013). Birth-and-Death Processes II. In: Informal Introduction to Stochastic Processes with Maple. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4057-4_8
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DOI: https://doi.org/10.1007/978-1-4614-4057-4_8
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-4056-7
Online ISBN: 978-1-4614-4057-4
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