In this paper we develop two permutation theorems on argument increasing functions of a multivariate random vector and a real parameter vector. We use the unified approach of our two theorems to ...

This note discusses sufficient conditions for a function of permutations (j1,⋯,jn) of the integers 1,2,⋯,n to have a minimum at the permutation (j1 *,⋯,jn *) and derives a solution algorithm that is ...