I have a Phd in statistics. But Bayesian methods were at that time a non-topic. I know the general principles, but I want to learn a little bit more about the latest developments in the field. Bayes is now chic, there are many books about it. I assume also a lot of bad ones. Can anyone recommend me a good state of the art book about Bayesian inference. Should be somewhat in the applied direction, but also with a sound mathematical background.

Chrilly
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