Lhat {dbmss} | R Documentation |

## Estimation of the L function

### Description

Estimates the *L* function

### Usage

```
Lhat(X, r = NULL, ReferenceType = "", NeighborType = "", CheckArguments = TRUE)
```

### Arguments

`X` |
A weighted, marked, planar point pattern ( |

`r` |
A vector of distances. If |

`ReferenceType` |
One of the point types. Default is all point types. |

`NeighborType` |
One of the point types. Default is all point types. |

`CheckArguments` |
Logical; if |

### Details

*L* is the normalized version of *K*: `L(r)=\sqrt{\frac{K}{\pi}}-r`

.

### Value

An object of class `fv`

, see `fv.object`

, which can be plotted directly using `plot.fv`

.

### Note

*L* was originally defined as `L(r)=\sqrt{\frac{K}{\pi}}`

. It has been used as `L(r)=\sqrt{\frac{K}{\pi}}-r`

in a part of the literature because this normalization is easier to plot.

### References

Besag, J. E. (1977). Comments on Ripley's paper. *Journal of the Royal Statistical Society B* 39(2): 193-195.

### See Also

### Examples

```
data(paracou16)
autoplot(paracou16)
# Calculate L
r <- 0:30
(Paracou <- Lhat(paracou16, r))
# Plot
autoplot(Paracou)
```

*dbmss*version 2.9-0 Index]