Convergence of branching processes to the local time of a Bessel process
نویسنده
چکیده
We study Galton-Watson branching processes conditioned on the total progeny to be n which are scaled by a sequence cn tending to innnity as o(p n). It is shown that this process weakly converges to the totallocal time of a two-sided three-dimensional Bessel process. This is done by means of characteristic functions and a generating function approach.
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ورودعنوان ژورنال:
- Random Struct. Algorithms
دوره 13 شماره
صفحات -
تاریخ انتشار 1998