On the time to absorption in Λ-coalescents

2017/12/20 by Kersting, Götz, Wakolbinger, Anton
#60F05 (secondary) #60J27 #60J75 (primary) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1712.07553

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 → ∞. 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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