where (v,1, ..., v,,) is a given probability vector, and (Xt(x), Yl(x)), ..., (X.(x), Y,(x)) is a permutation of (X1, I71) . . . . , (X, , Y,) according to increasing values of IlXi-x[I, x e R a. When [IXi-xll = H X j x l [ but i < j , X i is said to be closer to x than X~. The consistency properties of m, for special choices of the weight vector (v,,, ..., v,,,) are discussed in Cover (1968), ...