This page describes the possible reference measures (baseline distributions)
for found in the ergm
package, particularly the default (Bernoulli) reference measure for
binary ERGMs.
The reference measure is specified on the RHS of a one-sided formula passed as
the reference
argument to ergm
.
See the ergm
documentation for a complete
description of how reference measures are specified.
Reference measures currently available are:
Bernoulli
Bernoulli-reference ERGM: Specifies each dyad's baseline distribution to be Bernoulli with probability of the tie being \(0.5\). This is the only reference measure used in binary mode.
DiscUnif(a,b)
Discrete-Uniform-reference ERGM:
Specifies each dyad's baseline distribution to be discrete uniform
between a
and b
(both inclusive): \(h(y)=1\), with
the support being
a
,a
+1,…,b
-1,b
. At this time, both a
and
b
must be finite.
Unif(a,b)
Coninuous-Uniform-reference ERGM:
Specifies each dyad's baseline distribution to be continuous uniform
between a
and b
(both inclusive): \(h(y)=1\), with
the support being
[a
,b
]. At this time, both a
and
b
must be finite.
StdNormal
Standard-Normal-reference ERGM: Specifies each dyad's baseline distribution to be the normal distribution with mean 0 and variance 1.
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). http://www.jstatsoft.org/v24/i03/.
Krivitsky PN (2012). Exponential-Family Random Graph Models for Valued Networks. Electronic Journal of Statistics, 2012, 6, 1100-1128. 10.1214/12-EJS696
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