Survival probabilities for N-ary subtrees on a Galton-Watson family tree

Ljuben R. Mutafchiev

Statistics & Probability Letters, 2008, vol. 78, issue 14, 2165-2170

Abstract: The family tree of a Galton-Watson branching process may contain N-ary subtrees, i.e. subtrees whose vertices have at least N>=1 children. For family trees without infinite N-ary subtrees, we study how fast N-ary subtrees of height t disappear as t-->[infinity].

Date: 2008
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