Multidimensional medians arising from geodesics on graphs
Small, Christopher G.
Ann. Statist., Tome 25 (1997) no. 6, p. 478-494 / Harvested from Project Euclid
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In this paper we introduce a depth function for distributions on graphs that is analogous to recent multivariate definitions. Using the property of geodesic convexity on graphs, a median-like center for distributions on graphs is constructed and applied to ranking data as well as multivariate data spanned by the minimal spanning tree.
Publié le : 1997-04-14
Classification:  Median,  graph,  convex set,  permutation,  minimal spanning tree,  62H99,  60D05 
@article{1031833660,
     author = {Small, Christopher G.},
     title = {Multidimensional medians arising from geodesics on graphs},
     journal = {Ann. Statist.},
     volume = {25},
     number = {6},
     year = {1997},
     pages = { 478-494},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1031833660}
}

Small, Christopher G. Multidimensional medians arising from geodesics on graphs. Ann. Statist., Tome 25 (1997) no. 6, pp.  478-494. http://gdmltest.u-ga.fr/item/1031833660/