The original conclusions stand: standard Bayesian posterior computations using conditional densities remain physically inconsistent under change of variables, and Yan et al.'s defense does not resolve this.
Jeffreys, An invariant form for the prior probability in estimation prob- lems.Proceedings of the Royal Society of London
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Response to: "A note on conditional densities, Bayes' rule, and recent criticisms of Bayesian inference" by Yan et al., 2026
The original conclusions stand: standard Bayesian posterior computations using conditional densities remain physically inconsistent under change of variables, and Yan et al.'s defense does not resolve this.