@article {
author = {Javanian, M.},
title = {Limit distribution of the degrees in scaled attachment random recursive trees},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {39},
number = {5},
pages = {1031-1036},
year = {2013},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {We study the limiting distribution of the degree of a given node in a scaled attachment random recursive tree, a generalized random recursive tree, which is introduced by Devroye et. al (2011). In a scaled attachment random recursive tree, every node $i$ is attached to the node labeled $lfloor iX_i floor$ where $X_0$, $ldots$ , $X_n$ is a sequence of i.i.d. random variables, with support in [0, 1) and distribution function $F$. By imposing a condition on $F$, we show that the degree of a given node is asymptotically normal.},
keywords = {trees,Recursive trees,Lyapunov's Theorem},
url = {http://bims.iranjournals.ir/article_458.html},
eprint = {http://bims.iranjournals.ir/article_458_63e25d39e913e72ed5c4039ad4b7b99d.pdf}
}