  The purpose of this paper is to analyze certain statistics of a recently
introduced non-uniform random tree model, biased recursive trees. This model is
based on constructing a random tree by establishing a correspondence with
non-uniform permutations, biased riffle shuffles. The statistics that are
treated include the number of nodes with a given number of descendants, the
depth of the tree, and the number of branches. The model yields the uniform
recursive trees as a certain limit, some new results for the uniform case are
obtained as well.
