This is for members who might be knowledgeable about the Robinson-Foulds distance. I have a fixed tree T and a bunch of other trees B.
I use the Robinson-Foulds (RF) distance to compare the trees in B with T, and I get a distribution of distances. I'd like to show that this distribution is significantly different from random. In other words, my null hypothesis is that there is no relationship between the trees of B and the RF-distance. In order to contradict this hypothesis, it would help to know how the trees distances from T are distributed if I include all the possible trees.
Hence the question : is it possible to know the number of trees at distance k from a fixed tree T ?