Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39520131001Limit distribution of the degrees in scaled attachment random recursive trees10311036458ENM.JavanianDepartment of Statistics, Zanjan University, Zanjan, IranJournal Article20120519We study the limiting distribution of the degree of a <br />given node in a scaled attachment random recursive tree, a <br />generalized random recursive tree, which is introduced by Devroye <br />et. al (2011). In a scaled attachment random recursive tree, every <br />node $i$ is attached to the node labeled $lfloor iX_i <br />floor$ <br />where $X_0$, $ldots$ , $X_n$ is a sequence of i.i.d. random <br />variables, with support in [0, 1) and distribution function $F$. <br />By imposing a condition on $F$, we show that the degree of a given <br />node is asymptotically normal.http://bims.iranjournals.ir/article_458_63e25d39e913e72ed5c4039ad4b7b99d.pdf