fit_poisson_model

<code>fit_poisson_model</code> is called from <code>intensity_pspline</code>
and performs the iterative algorithm to estimate the model parameters and the
smoothing parameters \(rho\) in the penalized Poisson model.

Fitting the intensity function of point
processes on geometric networks. The method makes use of generalized
additive models (GAM). The method is described in Marc Schneble, Göran Kauermann.
"Intensity estimation on geometric networks with penalized splines." The
Annals of Applied Statistics, 16(2) 843-865 June 2022.
<doi:10.1214/21-AOAS1522>.
A new class for representing linear networks as
geometric networks is the core of the package.

Marc Schneble

geonet

Intensity Estimation on Geometric Networks with Penalized
Splines

fit_poisson_model function

<dl><dt>data</dt>
<dd>The binned data.</dd>
<dt>Z</dt>
<dd>The (sparse) model matrix where the number of columns must
correspond to the length of the vector of model coefficients <code>theta</code>.</dd>
<dt>K</dt>
<dd>A (sparse) square penalty matrix of with the same dimension as
<code>theta</code>.</dd>
<dt>ind</dt>
<dd>A list which contains the indices belonging to each smooth term
and the linear terms.</dd>
<dt>verbose</dt>
<dd>If <code>TRUE</code>, prints information on the process of the fitting
algorithm.</dd>
<dt>control</dt>
<dd>A list of optional arguments which control the convergence
of the fitting algorithm. See "Details".</dd></dl>

Arguments

Marc Schneble <a href="/link/marc.schneble%40stat.uni-muenchen.de?package=geonet&version=0.7.3" data-mini-rdoc="geonet::marc.schneble@stat.uni-muenchen.de">marc.schneble@stat.uni-muenchen.de</a>

Author

Fit a Penalized Spline Poisson Model on a Geometric Network — fit_poisson_model

<dl>

<dt>data</dt>
<dd>The binned data.</dd>


<dt>Z</dt>
<dd>The (sparse) model matrix where the number of columns must
correspond to the length of the vector of model coefficients <code>theta</code>.</dd>


<dt>K</dt>
<dd>A (sparse) square penalty matrix of with the same dimension as
<code>theta</code>.</dd>


<dt>ind</dt>
<dd>A list which contains the indices belonging to each smooth term
and the linear terms.</dd>


<dt>verbose</dt>
<dd>If <code>TRUE</code>, prints information on the process of the fitting
algorithm.</dd>


<dt>control</dt>
<dd>A list of optional arguments which control the convergence
of the fitting algorithm. See "Details".</dd>

</dl>

Marc Schneble <a href='mailto:marc.schneble@stat.uni-muenchen.de'>marc.schneble@stat.uni-muenchen.de</a>

fit_poisson_model: Fit a Penalized Spline Poisson Model on a Geometric Network

Description

Usage

Value

Arguments

Author

Details

References