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The time to absorption in Λ-coalescents
Published online by Cambridge University Press: 01 February 2019
Abstract
We present a law of large numbers and a central limit theorem for the time to absorption of Λ-coalescents with dust started from n blocks, as n→∞. The proofs rely on an approximation of the logarithm of the block-counting process by means of a drifted subordinator.
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- Original Article
- Information
- Advances in Applied Probability , Volume 50 , Issue A: Branching and Applied Probability , December 2018 , pp. 177 - 190
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- Copyright © Applied Probability Trust 2018
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