An Optimal Algorithm for Computing the Spherical Depth of Points in the Plane

For a distribution function \(F\) on \(\mathbb{R}^d\) and a point \(q\in \mathbb{R}^d\), the \emph{spherical depth} \(\SphD(q;F)\) is defined to be the probability that a point \(q\) is contained inside a random closed hyper-ball obtained from a pair of points from \(F\). The spherical depth \(\SphD...

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Veröffentlicht in:	arXiv.org 2017-02
Hauptverfasser:	Bremner, David, Shahsavarifar, Rasoul
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Bivariate analysis Complexity Data analysis Distribution functions Multivariate analysis
Online-Zugang:	Volltext
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