AuxVarGen

Generate auxiliary variable for given proposed parameters.

The Bayesian MCMC estimation of parameters for Thomas-type cluster
point process with various inhomogeneities. It allows for inhomogeneity in
(i) distribution of parent points, (ii) mean number of points in a cluster,
(iii) cluster spread. The package also allows for the Bayesian MCMC
algorithm for the homogeneous generalized Thomas process. The cluster size
is allowed to have a variance that is greater or less than the expected
value (cluster sizes are over or under dispersed). Details are described in
Dvořák, Remeš, Beránek & Mrkvička (2022) <arXiv: 10.48550/arXiv.2205.07946>.

Remes Radim

binspp

Bayesian Inference for Neyman-Scott Point Processes

Mrkvicka Tomas

Dvorak Jiri

Beranek Ladislav

Park Jaewoo

Lee Sujeong

AuxVarGen function

<dl><dt>kappa</dt>
<dd>parameter to generate auxiliary variable. \(\kappa\) represents the -.</dd>
<dt>theta</dt>
<dd>parameter vector&Theta; = (&theta;1, &theta;2). &theta;1 represents -. &theta;2 represents-..</dd>
<dt>likelihoodprev</dt>
<dd>previous likelihood value.</dd>
<dt>rho0sum</dt>
<dd>Initial sum of interaction strengths.</dd>
<dt>CC</dt>
<dd>cluster centers.</dd>
<dt>AreaMRW</dt>
<dd>area of dilated window.</dd>
<dt>W_dil</dt>
<dd>observation window dilated by the assumed maximal cluster radius.</dd>
<dt>niter</dt>
<dd>number of iterations of MCMC.</dd></dl>

Arguments

Generate auxiliary variable for given proposed parameters. — AuxVarGen

<dl>

<dt>kappa</dt>
<dd>parameter to generate auxiliary variable. \(\kappa\) represents the -.</dd>


<dt>theta</dt>
<dd>parameter vector

&Theta; = (&theta;1, &theta;2). &theta;1 represents -. &theta;2 represents-..</dd>


<dt>likelihoodprev</dt>
<dd>previous likelihood value.</dd>


<dt>rho0sum</dt>
<dd>Initial sum of interaction strengths.</dd>


<dt>CC</dt>
<dd>cluster centers.</dd>


<dt>AreaMRW</dt>
<dd>area of dilated window.</dd>


<dt>W_dil</dt>
<dd>observation window dilated by the assumed maximal cluster radius.</dd>


<dt>niter</dt>
<dd>number of iterations of MCMC.</dd>

</dl>

AuxVarGen: Generate auxiliary variable for given proposed parameters.

Description

Usage

Value

Arguments