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On a coalescence process and its branching genealogy
Published online by Cambridge University Press: 09 December 2016
Abstract
We define and analyze a coalescent process as a recursive box-filling process whose genealogy is given by an ancestral time-reversed, time-inhomogeneous Bienyamé‒Galton‒Watson process. Special interest is on the expected size of a typical box and its probability of being empty. Special cases leading to exact asymptotic computations are investigated when the coalescing mechanisms are either linear fractional or quadratic.
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- Copyright © Applied Probability Trust 2016
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