kvantilien
Kvantilien is a concept in statistics used to describe generalized multivariate quantiles. It does not denote a single universally accepted object, but rather a family of constructions that aim to summarize the distribution of a multivariate variable by a set or curve of representative points corresponding to specified probability levels. The idea extends the one-dimensional notion of a quantile to higher dimensions, where there is no natural linear order.
In higher dimensions, kvantilien constructions address the non-uniqueness of multivariate quantiles by relying on different reference
Properties and computation vary across definitions. Some kvantilien constructions are affine-invariant, meaning they behave predictably under
Applications include multivariate data visualization, anomaly detection, and risk assessment in finance and environmental studies. See