siaf.simulatePC

To sample points from isotropic spatial kernels
 \(f_2(s) = f(||s||)\) such as <code>siaf.powerlaw</code> on a
 bounded domain (i.e., \(||s|| &lt; \code{ub}\)), it is
 convenient to switch to polar coordinates \((r,\theta)\),
 which have a density proportional to
 \(r f_2((r \cos(\theta), r \sin(\theta))) = r f(r)\)
 (independent of the angle \(\theta\) due to isotropy).
 The angle is thus simply drawn uniformly in \([0,2\pi)\), and
 \(r\) can be sampled by the inversion method, where numeric root
 finding is used for the quantiles (since the quantile function is not
 available in closed form).

internal

Statistical methods for the modeling and monitoring of time series
of counts, proportions and categorical data, as well as for the modeling
of continuous-time point processes of epidemic phenomena.
The monitoring methods focus on aberration detection in count data time
series from public health surveillance of communicable diseases, but
applications could just as well originate from environmetrics,
reliability engineering, econometrics, or social sciences. The package
implements many typical outbreak detection procedures such as the
(improved) Farrington algorithm, or the negative binomial GLR-CUSUM
method of Hoehle and Paul (2008) <doi:10.1016/j.csda.2008.02.015>.
A novel CUSUM approach combining logistic and multinomial logistic
modeling is also included. The package contains several real-world data
sets, the ability to simulate outbreak data, and to visualize the
results of the monitoring in a temporal, spatial or spatio-temporal
fashion. A recent overview of the available monitoring procedures is
given by Salmon et al. (2016) <doi:10.18637/jss.v070.i10>.
For the retrospective analysis of epidemic spread, the package provides
three endemic-epidemic modeling frameworks with tools for visualization,
likelihood inference, and simulation. hhh4() estimates models for
(multivariate) count time series following Paul and Held (2011)
<doi:10.1002/sim.4177> and Meyer and Held (2014) <doi:10.1214/14-AOAS743>.
twinSIR() models the susceptible-infectious-recovered (SIR) event
history of a fixed population, e.g, epidemics across farms or networks,
as a multivariate point process as proposed by Hoehle (2009)
<doi:10.1002/bimj.200900050>. twinstim() estimates self-exciting point
process models for a spatio-temporal point pattern of infective events,
e.g., time-stamped geo-referenced surveillance data, as proposed by
Meyer et al. (2012) <doi:10.1111/j.1541-0420.2011.01684.x>.
A recent overview of the implemented space-time modeling frameworks
for epidemic phenomena is given by Meyer et al. (2017)
<doi:10.18637/jss.v077.i11>.

Sebastian Meyer

surveillance

Temporal and Spatio-Temporal Modeling and Monitoring of Epidemic
Phenomena

Andrea Riebler

Daniel Sabanes Bove

Stefan Steiner

Mikko Virtanen

Wei Wei

Valentin Wimmer

R Core Team 

Howard Burkom

Thais Correa

Mathias Hofmann

Christian Lang

Juliane Manitz

Dirk Schumacher

Leonhard Held

Michael Hoehle

Michaela Paul

Maelle Salmon

siaf.simulatePC function

<dl> <dt>intrfr</dt>
<dd>a function computing the integral of \(r f(r)\) from 0 to <code>R</code>
 (first argument, not necessarily named <code>R</code>). Parameters of the
 function are passed as its second argument and a third argument is
 the event type.</dd></dl>

Arguments

Author

Simulation from an Isotropic Spatial Kernel via Polar Coordinates — siaf.simulatePC

<dl>

 <dt>intrfr</dt>
<dd>a function computing the integral of \(r f(r)\) from 0 to <code>R</code>
 (first argument, not necessarily named <code>R</code>). Parameters of the
 function are passed as its second argument and a third argument is
 the event type.</dd>

</dl>

Simulation from an Isotropic Spatial Kernel via Polar Coordinates

siaf.simulatePC: Simulation from an Isotropic Spatial Kernel via Polar Coordinates

Description

Usage

Value

Arguments

Author

Examples