The time to absorption in Λ-coalescents
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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 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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1991 ◽
Vol 12
(3)
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pp. 293-326
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2005 ◽
Vol 134
(2)
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pp. 215-247
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1999 ◽
Vol 96
(5)
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pp. 3455-3471
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1983 ◽
Vol 13
(2)
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pp. 287-301
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1969 ◽
Vol 136
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pp. 545
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1967 ◽
Vol 4
(01)
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pp. 206-208
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