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arXiv · 1712.07553

On the time to absorption in $Λ$-coalescents

Götz Kersting·Anton Wakolbinger
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Abstract

We present a law of large numbers and a central limit theorem for the time to absorption of $Λ$-coalescents, started from $n$ blocks, as $n \to \infty$. The proofs rely on an approximation of the logarithm of the block-counting process of $Λ$-coalescents with a dust component by means of a drifted subordinator.

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Götz Kersting, Anton Wakolbinger. 2017-12-20. On the time to absorption in $Λ$-coalescents. https://arxiv.org/abs/1712.07553

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