R: Calculate Simplicial Band Depth

depthf.simplicialBand {ddalpha} | R Documentation

## Calculate Simplicial Band Depth

### Description

Calculate the simplicial band depth defined by Lopez-Pintado, Sun, Lin, Genton (2014).

### Usage

    depthf.simplicialBand(objectsf, dataf, modified = TRUE, J = NULL,
                          range = NULL, d = 101)

### Arguments

`objectsf` | Functoins for which the depth should be computed; a list containing lists (functions) of two vectors of equal length, named `args` and `vals`: arguments sorted in ascending order and corresponding them values respectively.
`dataf` | Data sample of functoins w.r.t. which the depth should be computed; structure as for `objectsf`.
`modified` | Whether modified simplicial band depth should be computed; logical, `TRUE` by default.
`J` | How many functions to consider in each tuple of the U-statistics; integer, `d+1` by default.
`range` | The common range of the domain where the functions of objectsf and dataf are observed. Vector of length `2` with the left and the right end of the interval. Must contain all arguments given in objectsf and dataf.
`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.

### Value

A vector of depths of each of `objectsf` w.r.t. `dataf`.

### References

Lopez-Pintado, Sun, Lin, Genton (2014). Simplicial band depth for multivariate data. Advances in Data Analysis and Classification 8(3) 321–338.

### See Also

`depthf.BD`, `depthf.ABD`.

### Examples

    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)

[Package ddalpha version 1.3.11 Index]