The asymptotic distribution of maximum tree size in a~random forest
Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 3, pp. 523-533
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A random forest containing $N+n$ points, of which $N$ points are roots, is considered. All the points are labelled. The asymptotic distribution of the maximum size of a tree, in such a forest is studied when $n$, $N\to\infty$ so that $n/N\to 0$, $n/N\to \gamma$ ($0\gamma\infty$), $n/N\to\infty$ and $n/N^2\to 0$, or $n/N^2\to\mathrm{const}\ne 0$.
@article{TVP_1977_22_3_a5,
author = {Yu. L. Pavlov},
title = {The asymptotic distribution of maximum tree size in a~random forest},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {523--533},
publisher = {mathdoc},
volume = {22},
number = {3},
year = {1977},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_3_a5/}
}
Yu. L. Pavlov. The asymptotic distribution of maximum tree size in a~random forest. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 3, pp. 523-533. http://geodesic.mathdoc.fr/item/TVP_1977_22_3_a5/