modified_band_depth function

Compute the modified band depth for a sample of curves/functions.

This function computes the modified band depth of López-Pintado and Romo (2009) tools:::Rd_expr_doi("10.1198/jasa.2009.0108") . Bands of 2 functions are always used and the fast algorithm of Sun et al. (2012) tools:::Rd_expr_doi("10.1002/sta4.8") is used in computing the depth values.

modified_band_depth(dt)

Arguments

• dt: A matrix or data frame of size $n$ functions/curves by $p$ domain/evaluation points.

Returns

A numeric vector of size nrow(dt) containing the band depth values of each curve.

Examples

dt1 <- simulation_model1()
mbd2 <- modified_band_depth(dt1$data)

References

López-Pintado, S., & Romo, J. (2009). On the Concept of Depth for Functional Data. Journal of the American Statistical Association, 104(486), 718-734.

Sun, Y., Genton, M. G., & Nychka, D. W. (2012). Exact fast computation of band depth for large functional datasets: How quickly can one million curves be ranked?. Stat, 1(1), 68-74.