Rank distance

Definition taught in Nearest neighbours, part of Statistical learning

Rank distance

Type Definition
Taught in Nearest neighbours
Part Statistical learning
Questions using it 1

The empirical distance uses the worst coordinate, the L_\infty distance on the ranks:

\rho(x,x_i)=\max_{1\le j\le p}\bigl|r_i^{(j)}-r^{(j)}\bigr|.

Used in

See also

-nearest neighbours · Bayes consistency of -nearest neighbours · Distance and scale in nearest neighbours · Ties and the choice of k · Consistency and the factor of two · Laboratory: what a distance metric changes · Cover–Hart bound

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