We propose a minimax statistical framework adapted to nonparametric estimation in deterministic dynamical system, which highlights the importance of the recurrence property of the observed process. Estimators are evaluated on the basis of a weighted uniform norm. The weight function rn depends...

We instillate rational cognition and learning in "seemingly riskless" choices and judgments. Preferences and possibilities are given in a stochastic sense and based on revisable expectations. The theory predicts experimental preference reversals and passes a sharp econometric test of the status...