Superclustering and the redshift distribution of galaxy clusters

Abell galaxy clusters belonging to a particular distance class have a lognormal redshift distribution. A statistical technique, based on random departures of the observed cluster count from the theoretical number in various V(r) intervals, is proposed for determining the average number of clusters in a supercluster. The observational evidence is compatible, however, with the hypothesis that higher-order clustering is absent. Confirmation will require further cluster redshift measurements.