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Some cautionary tales about Bayesian predictive inference

arXiv 2607.19206 ↗First posted 21 Jul 2026math.ST stat.ME stat.MLcited by 0

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Abstract (arXiv)

Two misunderstandings, frequently arising in Bayesian predictive inference, are discussed. The first deals with the data generating mechanism, while the second consists in overestimating the role played by asymptotic exchangeability. Some consequences of such misunderstandings are highlighted through examples.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 6 of its 19 references that are in the map. First posted on arXiv 21 Jul 2026.

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References · 6

  1. 2022Bayesian Causal Inference: A Critical Reviewcited by 21
  2. 2015On recursive Bayesian predictive distributionscited by 7
  3. 2019Quasi-Bayes properties of a recursive procedure for mixturescited by 6
  4. 2022A probabilistic view on predictive constructions for Bayesian learningcited by 2
  5. 2026Posterior inference via Hill's prediction modelcited by 1
  6. 2026Posterior uncertainty for kernel density estimatescited by 1

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