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Median nearest-neighbour radius in the unit ball

Source: R/esl_native_small.R
morie_esl_median_nn_radius.Rd

(1 - (1/2)^(1/N))^(1/p), the median distance from the origin to the nearest of N points uniform in the p-dimensional unit ball (ESL eq 2.24).

Usage

morie_esl_median_nn_radius(N, p)

Arguments

N

Number of points.

p

Dimension.

Value

Named list: median_radius.

References

Hastie, Tibshirani & Friedman (2009), sec. 2.5.

Examples

morie_esl_median_nn_radius(500, 10)$median_radius
#> [1] 0.5177921