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Weak Convergence of a Nonlinear Functional of a Stationary Gaussian Process. Application to the Local Time

✍ Scribed by J. León; A. Leonard


Book ID
110240990
Publisher
Akadmiai Kiad
Year
2000
Tongue
English
Weight
760 KB
Volume
87
Category
Article
ISSN
1588-2632

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Convergence of branching processes to th
✍ Bernhard Gittenberger 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 215 KB

We study Galton᎐Watson branching processes conditioned on the total ' Ž . progeny to be n which are scaled by a sequence c tending to infinity as o n . It is shown n that this process weakly converges to the total local time of a two-sided three-dimensional Bessel process. This is done by means of c