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Bayesian theory is elegant and intuitive. But elegance may have little value in practical settings. The “Bayesian Revolution” of the last half of the 20th century was irrelevant for biostatisticians. They were busy changing the world in another way, and they neither needed nor wanted more methodolog ...

The lack of closed formlikelihoods has been the bane of Bayesian computation for many years and, prior to the introduction of MCMC methods, a strong impediment to the propagation of the Bayesian paradigm. We are now facing models where an MCMC completion of the model towards closed-formlikelihoods s ...

Since the 1970s, applications of Bayesian time series models and forecasting methods have represented major success stories for our discipline. Dynamic modelling is a very broad field, so this ISBA Lecture on Bayesian Foundations will rather selectively note key concepts and some core model contexts ...

In nonparametric statistics the posterior distribution is used in exactly the same way as in any Bayesian analysis. It supposedly gives us the likelihood of various parameter values given the data. A difference with parametric analysis is that it is often difficult to have an intuitive understanding ...