Probability discounting is defined as the devaluation of outcomes as the probability of receiving or paying those decreases. A q-exponential probability discounting model based on Tsallis’ statistics ...

First baseline result: Building neural muscle for probability distributions through hands-on simulation and theory — not by staring at formulas, but by plotting, simulating, and explaining. This ...

ABSTRACT: Whether people tend to punish criminals in a socially-optimal manner (i.e., hyperbolic punishment) or not is unknown. By adopting mathematical models of probabilistic punishment behavior ...

Abstract: We present new exponential bounds for the Gaussian Q function (one- and two-dimensional) and its inverse, and for M-ary phase-shift-keying (MPSK), M-ary ...

Abstract: Probability estimation is an elementary building block of every statistical data compression algorithm. In practice probability estimation should be adaptive, recent observations should ...

We consider repeated independent sampling from one member of an exponential family of probability distributions. The probability that the sample mean of n such observations falls into some set S n is, ...

This paper is concerned with inequalities connecting probabilities of hypotheses using Bayes' theorem (a posteriori probabilities), a priori probabilities, and Kullback-Leibler information-statistics ...

Independent events that happen at an average rate can be simulated with the Monte Carlo method and a uniform distribution. Events that happen at an average rate of R events/time_unit can be simulated ...