# Theoretical nearest neighbour distribution function

### Description

Calculate the theoretical nearest neighbour distribution function.

### Usage

1 |

### Arguments

`density` |
The density of the point pattern, i.e. the number of points per unit area. |

`s` |
A vector of distances at which to evaluate Fzero |

### Details

Fzero returns the nearest neighbour distribution for a homogeneous planar
Poisson process. In fortran notation, Fzero(s) is
`FZERO = 1-EXP(-PI*DENSITY*(S**2))`

.

### Value

A vector of the same length as `s`

, containing the value of Fzero 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`

,`Ghat`

,`pdense`

### Examples

1 2 3 4 5 |

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