RS Depth calculation

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Description

Computes the Ray Shooting depth of a point with respect to a bivariate data set.

Usage

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Arguments

q

Numerical vector whose depth is to be calculated. Data needs to be 2-dimensional.

pt

The data as a matrix, data frame or list. If it is a matrix or data frame, then each row is viewed as one bivariate observation. If it is a list, all components must be numerical vectors of equal length (coordinates of observations).

...

For future use.

Details

In dimension 2, calculates ray shooting depth of a given point with respect to the point set. Time complexity of the simple algorithms implemented is O(n log n).

Value

Returns the exact depth of bivariate point q with respect to data set pt, the number of line segments interested by a ray from q, minimum over all rays.

Author(s)

Nabil Mustafa, Saurabh Ray, and Mudassir Shabbir.

References

N. Mustafa, S. Ray, and M. Shabbir, Statistical Data Depth of Pointsets in the Plane,in prep..

See Also

rsmed

Examples

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## calculation of RS depth
z = matrix(rnorm(24),nc=2)
x = matrix(rnorm(2),nc=2)
rsdepth(z, x)