In this paper we have computed the coefficients for the relations between factorial power sum expressions (fps) and augmented factorial monomial symmetric functions (afmsf) of weight 6 for the unipartite case. We also derived the bipartite relations of weight 1 through weight 4.

These tables of afsf have a variety of applications. Some of them are the studies of the distributions of discrete random variables, theory of runs, and measurement of diversity (David,1972a, b).

Examples of factorial k-statistics and factorial h-statistics are given to illustrate the application of afmsf to different problems of estimation.