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11

RSA
1998

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Convergence of branching processes to the local time of a Bessel process

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Convergence of branching processes to the local time of a Bessel process

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We study Galton-Watson branching processes conditioned on the total progeny to be n which are scaled by a sequence cn tending to inﬁnity as o( √ 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.

Bernhard Gittenberger

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RSA 1998 | Sequence Cn | Total Progeny | Two-sided Three-dimensional Bessel |

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Added	23 Dec 2010
Updated	23 Dec 2010
Type	Journal
Year	1998
Where	RSA
Authors	Bernhard Gittenberger

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