Bayesian inference: More than Bayes\u27s theorem
Bayesian inference gets its name from *Bayes\u27s theorem*, expressing posterior probabilities for hypotheses about a data generating process as the (normalized) product of prior probabilities and a likelihood function. But Bayesian inference uses all of
Loredo, Thomas J., Wolpert, Robert L.
core
Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley +1 more source
Rendering transparency to ranking in educational assessment via Bayesian comparative judgement
Review of Education, Volume 14, Issue 2, August 2026.Abstract Transparency in educational assessment has become an increasingly pressing concern, particularly in the aftermath of the pandemic, as institutions seek more equitable, robust and defensible methods of evaluating student work. Comparative judgement (CJ) has gained traction as a promising alternative to traditional rubric‐based marking. However,
Andy Gray +4 more
wiley +1 more source
Application of Bayes' Theorem in Valuating Depression Tests Performance. [PDF]
Front Psychol, 2018 Tommasi M, Ferrara G, Saggino A.
europepmc +1 more source
Bayes Theorem Bounds for Convex Lower Previsions
, 2009 In this paper we consider some bounds for lower previsions that are either coherent or, more generally, centered convex. We focus on bounds concerning the classical product and Bayes’ rules, discussing first weak product rules and some of their ...
PELESSONI, RENATO, VICIG, PAOLO
core
Optimal model‐based design of experiments for parameter precision: Supercritical extraction case
The Canadian Journal of Chemical Engineering, Volume 104, Issue 7, Page 3775-3795, July 2026.Abstract This study investigates the process of chamomile oil extraction from flowers. A parameter‐distributed model consisting of a set of partial differential equations is used to describe the governing mass transfer phenomena in a cylindrical packed bed with solid chamomile particles under supercritical conditions using carbon dioxide as a solvent ...
Oliwer Sliczniuk, Pekka Oinas
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Reply to Onkenhout et al. Comment on "van Gemert et al. Child Abuse, Misdiagnosed by an Expertise Center-Part II-Misuse of Bayes' Theorem. Children 2023, 10, 843". [PDF]
Children (Basel)van Gemert MJC +3 more
europepmc +1 more source
Journal of Forecasting, Volume 45, Issue 4, Page 1529-1558, July 2026.ABSTRACT Using online job advertisement data improves the timeliness and granularity depth of analysis in the labor market in domains not covered by official data. Specifically, its variation over time may be used as an anticipator of official employment variations.
Pietro Giorgio Lovaglio +1 more
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Bayes' theorem, the ROC diagram and reference values: Definition and use in clinical diagnosis. [PDF]
Biochem Med (Zagreb), 2018 Kallner A.
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Do robots boost productivity? A quantitative meta‐study
Journal of Economic Surveys, Volume 40, Issue 3, Page 1531-1571, July 2026.ABSTRACT This meta‐study analyzes the productivity effects of industrial robots. More than 1800 estimates from 85 primary studies are collected. The meta‐analytic evidence suggests that robotization has so far provided, at best, a small boost to productivity. There is strong evidence of publication bias in the positive direction.
Florian Schneider
wiley +1 more source