# RS Depth calculation

### Description

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

### Usage

1 |

### 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

1 2 3 4 |

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