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math.ST2026
Ergodic Theory in Classical and Bayesian Inference
Artur O. Lopes
We begin by presenting the mathematical rationale underlying classical deductive inference. We then introduce the foundational ideas of the Bayesian inference framework. Results ly…
math.ST2021
Dynamical hypothesis tests and Decision Theory for Gibbs distributions
M. Denker, A. O. Lopes, S. R. C. Lopes
We consider the problem of testing for two Gibbs probabilities and defined for a dynamical system . Due to the fact that in general full orbits are not observabl…