| ergmReference {ergm} | R Documentation |
This page describes how to specify the reference measures (baseline distributions)
(the set of possible networks Y and the baseline weights h(y) to functions in the ergm
package. It also provides an indexed list of the references visible to the ergm's API.
In an exponential-family random graph model (ERGM), the probability or density of a given network, y in sample space Y, on a set of nodes is
h(y) exp{eta(theta).g(y)} / c(theta),
where h(y) is the reference distribution (particularly for valued network models), g(y) is a vector of network statistics for y, η(θ) is a natural parameter vector of the same length (with eta(theta)=theta for most terms), . is the dot product, and c(theta) is the normalizing constant for the distribution. A complete ERGM specification requires a list of network statistics g(y) and (if applicable) their η(θ) mappings provided by a formula of ergmTerms; and, optionally, sample space Y and reference distribution h(y) information provided by ergmConstraints and, for valued ERGMs, by ergmReferences.
The reference measure (Y,h(y)) is specified on the right-hand side of a one-sided formula passed
typically as the reference argument.
Hunter DR, Handcock MS, Butts CT, Goodreau SM, Morris M (2008b). ergm: A Package to Fit, Simulate and Diagnose Exponential-Family Models for Networks. Journal of Statistical Software, 24(3). doi: 10.18637/jss.v024.i03
Krivitsky PN (2012). Exponential-Family Random Graph Models for Valued Networks. Electronic Journal of Statistics, 2012, 6, 1100-1128. doi: 10.1214/12-EJS696
ergm, network, sna, summary.ergm, print.ergm, \%v\%, \%n\%