Geodesic
Weighted halfspace depth
Kybernetika, Tome 46 (2010) no. 1, pp. 125-148

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Generalised halfspace depth function is proposed. Basic properties of this depth function including the strong consistency are studied. We show, on several examples that our depth function may be considered to be more appropriate for nonsymetric distributions or for mixtures of distributions.
Classification : 60D05, 62G05, 62G15, 62G99, 62H05
Keywords: data depth; nonparametric multivariate analysis; strong consistency of depth; mixture of distributions 
@article{KYB_2010__46_1_a8,
     author = {Hlubinka, Daniel and Kot{\'\i}k, Luk\'a\v{s} and Venc\'alek, Ond\v{r}ej},
     title = {Weighted halfspace depth},
     journal = {Kybernetika},
     pages = {125--148},
     publisher = {mathdoc},
     volume = {46},
     number = {1},
     year = {2010},
     mrnumber = {2666899},
     zbl = {1189.62088},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2010__46_1_a8/}
}
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Hlubinka, Daniel; Kotík, Lukáš; Vencálek, Ondřej. Weighted halfspace depth. Kybernetika, Tome 46 (2010) no. 1, pp. 125-148. http://geodesic.mathdoc.fr/item/KYB_2010__46_1_a8/