R: Reference Measures for Exponential-Family Random Graph Models

ergm-references {ergm} | R Documentation

## Reference Measures for Exponential-Family Random Graph Models

### Description

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.

### Possible reference measures to represent baseline distributions

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.

### References

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). https://www.jstatsoft.org/v24/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

### See Also

ergm, network, %v%, %n%, sna, summary.ergm, print.ergm

[Package ergm version 3.10.4 Index]