Description Usage Arguments Details Value Author(s) References See Also Examples

Computes the Ray Shooting median of a bivariate data set.

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`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 multivariate observation. If it is a list, all components must be numerical vectors of equal length (coordinates of observations). Only 2-dimensional data is acceptable in this version. |

`eps` |
eps is an optional parameter used for approximating a median in case of large data sets. It takes valye of a real between 0 and 1 and is by default set to 0 which means no approximation is used if eps is not given. |

`...` |
Reserved for future use. |

Finds out the an arbitrary point among the Ray Shooting median set of given point set. Current uses the brute-force algorithm on all O(n^4) possible points
in the arrangment of all possible lines in complete graph on `pt`

. For each point O(n log n) is used to find out depth so overall complexity of this algorithm is O(n^5 log n).
When approximation parameter is provided then algorithm tries to approximate by finding median of a uniform sample subset of pt of size 1/eps^2*log(1/eps). If this constant is more than the size of original set then eps value is ignored and exact median is calculate on original point set.

A point in two dimension is returned as a single row two column vector

Nabil Mustafa, Saurabh Ray, and Mudassir Shabbir.

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

`rsdepth`

for depth function

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rsdepth documentation built on May 30, 2017, 3:37 a.m.

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