Abstract
Bayesian statistics is much more easily connected to the inferential problem of Schema (1.1) than classical statistics. The feature that distinguishes Bayesian statistical inference from classical statistics is that it also employs probability assignments over statistical hypotheses. It is therefore possible to present a Bayesian statistical procedure as an inference concerning probability assignments over hypotheses. Recall that we called the inference of probability assignments over data on the assumption of a statistical hypothesis direct. Because in Bayesian inference we derive a probability assignment over hypotheses on the basis of data, it is sometimes called indirect inference.
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Haenni, R., Romeijn, JW., Wheeler, G., Williamson, J. (2011). Bayesian Statistical Inference. In: Probabilistic Logics and Probabilistic Networks. Synthese Library, vol 350. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0008-6_6
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DOI: https://doi.org/10.1007/978-94-007-0008-6_6
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