rZ_pois_fc

Updates the latent variable Z in a Poisson AME model using a
Metropolis-Hastings step. The model assumes y_{i,j} ~ Poisson(exp(z_{i,j}))
where z_{i,j} is the latent variable representing the log mean.

Additive and multiplicative effects models for both cross-sectional and longitudinal network analysis. The package provides two main functions: ame() for cross-sectional networks and lame() for longitudinal networks. It supports square and rectangular network structures. Key features include: (1) Cross-sectional network analysis via ame() with support for binary, continuous, ordinal, and count data; (2) Longitudinal network analysis via lame() with additive sender/receiver and multiplicative latent-factor effects that can evolve over time through AR(1) processes (Sewell and Chen (2015) <doi:10.1080/01621459.2014.988214>; Durante and Dunson (2014) <doi:10.1093/biomet/asu040>); (3) Handling of changing actor compositions across time periods in longitudinal models; (4) Performance improvements through C++ implementations via 'Rcpp' and 'RcppArmadillo'.

Shahryar Minhas

lame

Longitudinal Additive and Multiplicative Effects Models for
Networks

Cassy Dorff

Tosin Salau

rZ_pois_fc function

<dl><dt>Z</dt>
<dd>a square matrix, the current value of the latent variable</dd>
<dt>EZ</dt>
<dd>expected value of Z (regression effects + random effects)</dd>
<dt>rho</dt>
<dd>dyadic correlation</dd>
<dt>s2</dt>
<dd>dyadic variance (overdispersion parameter)</dd>
<dt>Y</dt>
<dd>square relational matrix of observed counts</dd></dl>

Arguments

Cassy Dorff, Shahryar Minhas, Tosin Salau

Author

Gibbs update for latent variable in a Poisson AME model — rZ_pois_fc

<dl>

<dt>Z</dt>
<dd>a square matrix, the current value of the latent variable</dd>


<dt>EZ</dt>
<dd>expected value of Z (regression effects + random effects)</dd>


<dt>rho</dt>
<dd>dyadic correlation</dd>


<dt>s2</dt>
<dd>dyadic variance (overdispersion parameter)</dd>


<dt>Y</dt>
<dd>square relational matrix of observed counts</dd>

</dl>

rZ_pois_fc: Gibbs update for latent variable in a Poisson AME model

Description

Usage

Value

Arguments

Author