Volume 11, Issue 1 (4-2016)                   IJMSI 2016, 11(1): 1-11 | Back to browse issues page

DOI: 10.7508/ijmsi.2016.01.001

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Kazemi (2014) introduced a new version of bucket recursive trees as another generalization of recursive trees where buckets have variable capacities. In this paper, we get the $p$-th factorial moments of the random variable $S_{n,1}$ which counts the number of subtrees size-1 profile (leaves) and show a phase change of this random variable. These can be obtained by solving a first order partial differential equation for the generating function correspond to this quantity.

Type of Study: Research paper | Subject: General