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This article is cited in 5 scientific papers (total in 5 papers)
On a conditional invariance principle for a critical Galton–Watson branching process
V. I. Afanasyev
Abstract:
For a critical Galton–Watson branching process,
we formulate an invariance principle which allows us to study
the process in two time scales,
absolute and relative (to the life time of the process).
We establish a relation between the limiting process and the local time
of the Brownian excursion.
This research was supported by the Russian Foundation for Basic Research, grant
02–01–00266, and by the program of the President of Russian Federation of supporting
leading scientific schools, grant 1758.2003.1.
Received: 20.01.2004 Revised: 12.10.2004
Citation:
V. I. Afanasyev, “On a conditional invariance principle for a critical Galton–Watson branching process”, Diskr. Mat., 17:1 (2005), 35–49; Discrete Math. Appl., 15:1 (2005), 17–32
Linking options:
https://www.mathnet.ru/eng/dm86https://doi.org/10.4213/dm86 https://www.mathnet.ru/eng/dm/v17/i1/p35
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