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math.ST2021
Decision Theory and Large Deviations for Dynamical Hypotheses Tests: Neyman-Pearson, Min-Max and Bayesian Tests
Hermes H. Ferreira, Artur O. Lopes, Silvia R. C. Lopes
We analyze hypotheses tests using classical results on large deviations to compare two models, each one described by a different Hölder Gibbs probability measure. One main differen…
math.ST2020
Bayes posterior convergence for loss functions via almost additive Thermodynamic Formalism
Artur O. Lopes, Silvia R. C. Lopes, Paulo Varandas
Statistical inference can be seen as information processing involving input information and output information that updates belief about some unknown parameters. We consider the Ba…
math.ST2007★ 1 cited
Parameter Estimation in Manneville-Pomeau Processes
B. P. Olbermann, Silvia R. C. Lopes, Artur O. Lopes
In this work we study a class of stochastic processes , where is obtained from the iterations of the transformation T_s, invariant for…