R: Fast Depth Computation for Univariate and Bivariate Random...

depth.sample {ddalpha} | R Documentation

## Fast Depth Computation for Univariate and Bivariate Random Samples

### Description

Faster implementation of the halfspace and the simplicial depth. Computes the depth of a whole random sample of a univariate or a bivariate data in one run.

### Usage

    depth.sample(A, B)

### Arguments

`A` | Univariate or bivariate points whose depth is computed, represented by a matrix of size `m*2`. `m` stands for the number of points, `d` is 1 for univariate and 2 for bivariate data.
`B` | Random sample points with respect to which the depth of `A` is computed. `B` is represented by a matrix of size `n*2`, where `n` is the sample size.

### Details

The function returns vectors of sample halfspace and simplicial depth values.

### Value

Vector of length `m` of depth halfspace depth values is returned.

### Author(s)

Stanislav Nagy, nagy at karlin.mff.cuni.cz

### See Also

`depth.halfspace`

`depth.simplicial`

### Examples

    n = 100
    m = 150
    A = matrix(rnorm(2*n),ncol=2)
    B = matrix(rnorm(2*m),ncol=2)
    depth.sample(A,B)
    system.time(D1<-depth.halfspace(A,B))
    system.time(D2<-depth.sample(A,B))
    max(D1-D2$Half)

    A = rnorm(100)
    B = rnorm(150)
    depth.sample(A,B)
    # depth.halfspace(matrix(A,ncol=1),matrix(B,ncol=1))

[Package ddalpha version 1.3.4 Index]