Geodesic
Galton--Watson processes attaining a high level
Teoriâ veroâtnostej i ee primeneniâ, Tome 52 (2007) no. 3, pp. 588-594

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Limit theorems are established for a critical Galton–Watson process attaining a high level describing the distributions of the time to attain this level and the life length of the process.
Keywords: Galton–Watson process, time to attain a level, life length, conditional invariance principles, conditional limit theorems, modified Bessel functions. 
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     author = {V. I. Afanasyev},
     title = {Galton--Watson processes attaining a high level},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     publisher = {mathdoc},
     volume = {52},
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     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2007_52_3_a8/}
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V. I. Afanasyev. Galton--Watson processes attaining a high level. Teoriâ veroâtnostej i ee primeneniâ, Tome 52 (2007) no. 3, pp. 588-594. http://geodesic.mathdoc.fr/item/TVP_2007_52_3_a8/