Recent Advances in Robust Statistics: Theory and Applications by Claudio Agostinelli Ayanendranath Basu Peter Filzmoser & Diganta Mukherjee

Author:Claudio Agostinelli, Ayanendranath Basu, Peter Filzmoser & Diganta Mukherjee
Language: eng
Format: epub
Publisher: Springer India, New Delhi

(14)

for all and especially for , . The corresponding visual comparison can be done by overlaying and in the same 3D plot, or by overlaying and (u, v, 0) in another 3D plot; the latter has the advantage of an “eye-stabilizing” reference plane. Intuitively, the inequality < in (14) means “point-wise” dampening (downweighting) with respect to the benchmark, whereas > amounts to amplification (highlighting) with respect to the benchmark. In the light of this, one can interpret as a density-pair adjustment function DAF(0) of zeroth order. In principle, for fixed , one can encounter three situations in the relative quality assessment of some candidate , w). Firstly, the scaling is the same, i.e. , and thus (14) turns into

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