PolytopeQuantile[{{x11,x12},,{xn 1,xn 2}},q]

gives the locus of the q^(th) quantile of the bivariate data, where the data has been ordered using convex hulls centered on ConvexHullMedian[{{x11,x12},,{xn 1,xn 2}}].

Details and Options

  • To use PolytopeQuantile, you first need to load the Multivariate Statistics Package using Needs["MultivariateStatistics`"].
  • PolytopeQuantile returns a Polytope object, centered at ConvexHullMedian[{x1,,xn}].
  • Outlying vectors are removed by repeatedly peeling off layers of convex hulls from the data until at most a fraction q are left.
  • PolytopeQuantile interpolates between the convex hulls of the points remaining before and after the last layer is removed.