R: G nearest neighbour distribution function

Ghat {splancs} | R Documentation

## G nearest neighbour distribution function

### Description

Calculates an estimate of the G nearest neighbour distribution function.

### Usage

    Ghat(pts,s)

### Arguments

`pts` | A points data set
`s` | A vector of distances at which to evaluate the G function

### Details

The function `Ghat(pts,s)` is defined as the proportion of members of a point set for which the distance to the nearest other member of the set is less than or equal to `s`.

### Value

A vector of the same length as `s`, containing the estimate of G at the distances in `s`.

### References

Rowlingson, B. and Diggle, P. 1993 Splancs: spatial point pattern analysis code in S-Plus. Computers and Geosciences, 19, 627-655; the original sources can be accessed at: http://www.maths.lancs.ac.uk/~rowlings/Splancs/. See also Bivand, R. and Gebhardt, A. 2000 Implementing functions for spatial statistical analysis using the R language. Journal of Geographical Systems, 2, 307-317.

### See Also

`Fhat`, `nndistG`

### Examples

    data(uganda)
    plot(seq(20, 500, 20), Ghat(as.points(uganda), seq(20, 500, 20)),
    type="l", xlab="distance", ylab="Estimated G")

[Package splancs version 2.01-40 Index]