# fitted.mppm

##### Fitted Conditional Intensity for Multiple Point Process Model

Given a point process model fitted to multiple point patterns, compute the fitted conditional intensity of the model at the points of each data pattern, or at the points of the quadrature schemes used to fit the model.

##### Usage

```
## S3 method for class 'mppm':
fitted(object, ..., type = "lambda", dataonly = FALSE)
```

##### Arguments

- object
- The fitted model. An object of class
`"mppm"`

obtained from`mppm`

. - ...
- Ignored.
- type
- Type of fitted values: either
`"trend"`

for the spatial trend, or`"lambda"`

or`"cif"`

for the conditional intensity. - dataonly
- If
`TRUE`

, fitted values are computed only for the points of the data point patterns. If`FALSE`

, fitted values are computed for the points of the quadrature schemes used to fit the model.

##### Details

This function evaluates the conditional intensity $\hat\lambda(u,x)$ or spatial trend $\hat{b(u)}$ of the fitted point process model for certain locations $u$, for each of the original point patterns $x$ to which the model was fitted.

The locations $u$ at which the fitted conditional intensity/trend is
evaluated, are the points of the quadrature schemes used to fit the
model in `mppm`

. They include the data points (the points of the
original point pattern datasets) and other ``dummy'' points in
the window of observation.

Use `predict.mppm`

to compute the fitted conditional intensity at
other locations or with other values of the explanatory variables.

##### Value

- A list of vectors (one for each row of the original hyperframe,
i.e. one vector for each of the original point patterns)
containing the values of the fitted conditional intensity
or (if
`type="trend"`

) the fitted spatial trend.Entries in these vector correspond to the quadrature points (data or dummy points) used to fit the model. The quadrature points can be extracted from

`object`

by`quad.mppm(object)`

.

##### See Also

##### Examples

```
data(waterstriders)
model <- mppm(Bugs ~ x, data=hyperframe(Bugs=waterstriders),
interaction=Strauss(7))
cifs <- fitted(model)
```

*Documentation reproduced from package spatstat, version 1.37-0, License: GPL (>= 2)*