A Delayed Yule Process

In now classic work, David Kendall (1966) recognized that the Yule process and Poisson process could be related by a (random) time change. Furthermore, he showed that the Yule population size rescaled by its mean has an almost sure exponentially distributed limit as t→∞t\to \infty. In this note we i...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2018-03, Vol.146 (3), p.1335-1346
Hauptverfasser: Dascaliuc, Radu, Michalowski, Nicholas, Thomann, Enrique, Waymire, Edward C.
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Sprache:eng
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