The coalescent structure of uniform and Poisson samples from multitype branching processes

We introduce a Poissonization method to study the coalescent structure of uniform samples from branching processes. This method relies on the simple observation that a uniform sample of size k taken from a random set with positive Lebesgue measure may be represented as a mixture of Poisson samples w...

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Veröffentlicht in:	The Annals of applied probability 2023-12, Vol.33 (6A), p.4820
Hauptverfasser:	Johnston, Samuel G. G., Lambert, Amaury
Format:	Artikel
Sprache:	eng
Schlagworte:	Markov analysis Mixtures Poisson distribution Random variables Stochastic models
Online-Zugang:	Volltext
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