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

Calculates an estimate of the multitype L-function
(from type `i`

to any type)
for a multitype point pattern.

1 |

`X` |
The observed point pattern,
from which an estimate of the dot-type |

`i` |
The type (mark value)
of the points in |

`...` |
Arguments passed to |

`from` |
An alternative way to specify |

This command computes

*Li.(r) = sqrt(Ki.(r)/pi)*

where *Ki.(r)* is the multitype *K*-function
from points of type `i`

to points of any type.
See `Kdot`

for information
about *Ki.(r)*.

The command `Ldot`

first calls
`Kdot`

to compute the estimate of the `i`

-to-any
*K*-function, and then applies the square root transformation.

For a marked Poisson point process,
the theoretical value of the L-function is
*Li.(r) = r*.
The square root also has the effect of stabilising
the variance of the estimator, so that *Li.*
is more appropriate
for use in simulation envelopes and hypothesis tests.

An object of class `"fv"`

, see `fv.object`

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

.

Essentially a data frame containing columns

`r` |
the vector of values of the argument |

`theo` |
the theoretical value |

together with columns named
`"border"`

, `"bord.modif"`

,
`"iso"`

and/or `"trans"`

,
according to the selected edge corrections. These columns contain
estimates of the function *Li.*
obtained by the edge corrections named.

and \rolf

1 2 3 |

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