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Multivariate Statistics Package Symbol

PolytopeQuantile

PolytopeQuantile[{{x₁₁, x₁₂}, ..., {x_n1, x_n2}}, q]
gives the locus of the q

quantile of the bivariate data, where the data have been ordered using convex hulls centered on ConvexHullMedian[{{x₁₁, x₁₂}, ..., {x_n1, x_n2}}].

To use PolytopeQuantile, you first need to load the Multivariate Statistics Package using Needs["MultivariateStatistics`"].

PolytopeQuantile returns a Polytope object, centered at ConvexHullMedian[{x₁, ..., x_n}].

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.