Zonoid depth is a definition of data depth proposed by Dyckerhoff et al. [R. Dyckerhoff, G. Koshevoy, K. Mosler, Zonoid data depth: Theory and computation, in: A. Prat (Ed.), COMPSTAT 1996 - Proceedings in Computational Statistics, Physica-Verlag, Heidelberg, August 1996, pp. 235-240]. Efficient algorithms for solving several computational problems related to zonoid depth in 2-dimensional (bivariate) data sets are studied. These include algorithms for computing a zonoid depth map, computing a zonoid depth contour, and computing the zonoid depth of a point.

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Keywords Statistical data depth, Zonoids, Zonotopes
Persistent URL dx.doi.org/10.1016/j.comgeo.2007.05.007
Journal Computational Geometry
Gopala, H. (Harish), & Morin, P. (2008). Algorithms for bivariate zonoid depth. In Computational Geometry (Vol. 39, pp. 2–13). doi:10.1016/j.comgeo.2007.05.007