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math.ST2017★ 23 cited
On the correspondence between thermodynamics and inference
Colin H. LaMont, Paul A. Wiggins
We expand upon a natural analogy between Bayesian statistics and statistical physics in which sample size corresponds to inverse temperature. This analogy motivates the definition…
math.ST2016★ 4 cited
The Lindley paradox: The loss of resolution in Bayesian inference
Colin H. LaMont, Paul A. Wiggins
There are three principle paradigms of statistics: Bayesian, frequentist and information-based inference. Although these paradigms are in agreement in some contexts, the Lindley pa…