  Consider stochastic models for the spread of an infection in a structured
community, where this structured community is itself described by a random
network model. Some common network models and transmission models are defined
and large population proporties of them are presented. Focus is then shifted to
statistical methodology: what can be estimated and how, depending on the
underlying network, transmission model and the available data? This survey
paper discusses several different scenarios, also giving references to
publications where more details can be found.
