The Annals of Statistics
- Ann. Statist.
- Volume 25, Number 2 (1997), 478-494.
Multidimensional medians arising from geodesics on graphs
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.
Ann. Statist., Volume 25, Number 2 (1997), 478-494.
First available in Project Euclid: 12 September 2002
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Small, Christopher G. Multidimensional medians arising from geodesics on graphs. Ann. Statist. 25 (1997), no. 2, 478--494. doi:10.1214/aos/1031833660. https://projecteuclid.org/euclid.aos/1031833660