Latent factor longitudinal social networks and bayesian melding for modelling biological network structures, and longitudinal/spatial bent cables for modelling natural phenomena

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Many natural systems and phenomena are highly complex. To gain an adequate understanding of them, scientists develop quantitative techniques to address different aspects of the underlying structures. Observable quantities used in such techniques contain uncertainty, often substantial due to the schemes in which biological data are collected. If such uncertainty is not addressed properly, our understanding of nature would be limited. Statistical modelling can account for such uncertainty. For this proposal, I develop such models, focusing on two major areas: biological network structures, and so-called change-point phenomena.