Means and Variances of Some Statistics in Simple Social Network with Given Out-Degrees

Abstract

This study is related to a finite simple social network (SSN), which consists of a finite number of actors of whom any ordered pair either has a dyadic relation or not and has neither multiple arcs nor arcs from the actors to themselves. In this connection different probabilistic models depending on a set of given conditions have been discussed by Rao and Bandyopadhyay (1987). This study is an attempt to find out the means and variances of some statistics which are left undiscussed in an SSN under the probabilistic models as studied by Rao and Bandyopadhyay (1987).