ctDensity

Wrapper for base R density function that removes outliers and computes 'reasonable' bandwidth and x and y limits.
Used for ctsem density plots.

Hierarchical continuous (and discrete) time state space modelling, for linear
and nonlinear systems measured by continuous variables, with limited support for
binary data. The subject specific dynamic system is modelled as a stochastic
differential equation (SDE) or difference equation, measurement models are typically multivariate normal factor models.
Linear mixed effects SDE's estimated via maximum likelihood and optimization are the default.
Nonlinearities, (state dependent parameters) and random effects on all parameters
are possible, using either max likelihood / max a posteriori optimization
(with optional importance sampling) or Stan's Hamiltonian Monte Carlo sampling.
See <https://github.com/cdriveraus/ctsem/raw/master/vignettes/hierarchicalmanual.pdf>
for details. Priors may be used. For the conceptual overview of the hierarchical Bayesian
linear SDE approach,
see <https://www.researchgate.net/publication/324093594_Hierarchical_Bayesian_Continuous_Time_Dynamic_Modeling>.
Exogenous inputs may also be included, for an overview of such possibilities see <https://www.researchgate.net/publication/328221807_Understanding_the_Time_Course_of_Interventions_with_Continuous_Time_Dynamic_Models> .
Stan based functions are not available on 32 bit Windows systems at present.
<https://cdriver.netlify.app/> contains some tutorial blog posts.

Charles Driver

ctsem

Continuous Time Structural Equation Modelling

Manuel Voelkle

Han Oud

Trustees of Columbia University 

ctDensity function

<dl><dt>x</dt>
<dd>numeric vector on which to compute density.</dd>
<dt>bw</dt>
<dd>either 'auto' or a numeric indicating bandwidth.</dd>
<dt>plot</dt>
<dd>logical to indicate whether or not to plot the output.</dd>
<dt>...</dt>
<dd>Further args to density.</dd></dl>

Arguments

ctDensity — ctDensity

<dl>

<dt>x</dt>
<dd>numeric vector on which to compute density.</dd>


<dt>bw</dt>
<dd>either 'auto' or a numeric indicating bandwidth.</dd>


<dt>plot</dt>
<dd>logical to indicate whether or not to plot the output.</dd>


<dt>...</dt>
<dd>Further args to density.</dd>

</dl>

ctDensity: ctDensity

Description

Usage

Arguments

Examples