The asymptotic relative generation distribution of the closest common ancestor of the multitype Galton-Watson tree conditioned on non-extinction

We extend Geiger's size-biased tree method to the multitype case to give another proof of Zubkov's result that the asymptotic relative generation distribution of the closest common ancestor of the multitype Galton-Watson branching process conditioned on non-extinction is uniform.

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Year of publication:	2009
Authors:	Magome, Masahisa ; Nakagawa, Tetsuo
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 79.2009, 18, p. 1957-1962
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005023140