Calculate Simplicial Band Depth
Calculate the simplicial band depth defined by Lopez-Pintado, Sun, Lin, Genton (2014).
depthf.simplicialBand(objectsf, dataf, modified = TRUE, J = NULL,
range = NULL, d = 101)objectsf |
Functoins for which the depth should be computed; a list containing lists (functions) of two vectors of equal length, named |
dataf |
Data sample of functoins w.r.t. which the depth should be computed; structure as for |
modified |
Whether modified simplicial band depth should be computed; logical, |
J |
How many functions to consider in each tuple of the U-statistics; integer, |
range |
The common range of the domain where the functions of objectsf and dataf are observed. Vector of length |
d |
Grid size to which all the functional data are transformed. For depth computation, all functional observations are first transformed into vectors of their functional values of length d corresponding to equi-spaced points in the domain given by the interval range. Functional values in these points are reconstructed using linear interpolation, and extrapolation. |
A vector of depths of each of objectsf w.r.t. dataf.
Lopez-Pintado, Sun, Lin, Genton (2014). Simplicial band depth for multivariate data. Advances in Data Analysis and Classification 8(3) 321–338.
datafA = dataf.population()$dataf[1:20] datafB = dataf.population()$dataf[21:50] dataf2A = derivatives.est(datafA,deriv=c(0,1)) dataf2B = derivatives.est(datafB,deriv=c(0,1)) depthf.simplicialBand(dataf2A,dataf2B)
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