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

Masahisa Magome and Tetsuo Nakagawa

Statistics & Probability Letters, 2009, vol. 79, issue 18, 1957-1962

Abstract: 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.

Date: 2009
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