Monotonicity properties of spatial depth. (English) Zbl 1380.62228
Summary: We investigate the monotonicity properties of the spatial depth for multivariate data. We show that the spatial depth does not decrease monotonically with respect to the deepest point. Moreover, an answer to the conjecture of Y. Gao is provided [ibid. 65, No. 3, 217–225 (2003; Zbl 1048.62057)].
Citations:
Zbl 1048.62057References:
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