ergmm-families function

Edge Weight Distribution Families

Family-link combinations supported by ergmm.

Details

Each supported family has a family of functions, of the form pY.-, lpY.-, EY.-, dlpY.deta.-, dlpY.ddispersion.-, lpYc.-, rsm.-, followed by the family's name, for the respective family's name, representing the family's likelihood, log-likelihood, expectation, derivative of log-likelihood with repect to the linear predictor, derivative of log-likelihood with respect to the dispersion parameter, log-normalizing-constant, and random sociomatrix generation functions.

On the C side, similar functions exist, but becuase of static typing, are also provided for ``continuous'' versions of those families. These should not be used on their own, but are used in estimating MKL positions from the posterior distribution.

Family-link combinations

ID	C name	name	Type	Family	Link
1	Bernoulli_logit	Bernoulli.logit	Discrete	Bernoulli	logit
2	binomial_logit	binomial.logit	Discrete	binomial	logit
3	Poisson_log	Poisson.log	Discrete	Possion	log
4	Bernoulli_cont_logit	NA	Continuous	Bernoulli	logit
5	binomial_cont_logit	NA	Continuous	binomial	logit
6	Poisson_cont_log	NA	Continuous	Possion	log
7	normal_identity	normal.identity	Continuous	normal	identity

.link can be omited when not ambiguous. Some families require an appropriate fam.par argument to be supplied to ergmm:

• binomial families: a mandatory trials parameter for the number of trials (same for every dyad) whose success the response counts represent
• normal: a mandatory prior.var and prior.var.df parameter for the prior scale and degrees of freedom of the variance of the dyad values