  We measure moments of the galaxy count probability distribution function in
the two-degree field galaxy redshift survey (2dFGRS). The survey is divided
into volume limited subsamples in order to examine the dependence of the higher
order clustering on galaxy luminosity. We demonstrate the hierarchical scaling
of the averaged p-point galaxy correlation functions, xibar_p, up to p=6. The
hierarchical amplitudes, S_p = xibar_p/xibar_2^{p-1}, are approximately
independent of the cell radius used to smooth the galaxy distribution on small
to medium scales. On larger scales we find the higher order moments can be
strongly affected by the presence of rare, massive superstructures in the
galaxy distribution. The skewness S_3 has a weak dependence on luminosity,
approximated by a linear dependence on log luminosity. We discuss the
implications of our results for simple models of linear and non-linear bias
that relate the galaxy distribution to the underlying mass.
