This paper describes a Bayesian solution to the equity premium puzzle, that is, the inability of standard intertemporal economic models to account for the magnitude of the observed excess return earned by a risky security over the return on T-bills. We follow convention and assume a single representative agent, but the main difference is that we suppose that the agent is not certain about the p...

At CRYPTO 2008 Stam [7] made the following conjecture: if an m + s-bit to s-bit compression function F makes r calls to a primitive f of n-bit input, then a collision for F can be obtained (with high probability) using r2 queries to f . For example, a 2n-bit to n-bit compression function making two calls to a random function of n-bit input cannot have collision security exceeding 2. We prove th...

Motivated by the inverse Littlewood-Offord problem for linear forms, we study the concentration of quadratic forms. We show that if this form concentrates on a small ball with high probability, then the coefficients can be approximated by a sum of additive and algebraic structures.

In this short preliminary note I apply the methodology of gametheoretic probability to calculating non-asymptotic confidence intervals for the coefficient of a simple first order scalar autoregressive model. The most distinctive feature of the proposed procedure is that with high probability it produces confidence intervals that always cover the true parameter value when applied sequentially.

In the paper we extent the notion of Dobrushin coefficient of ergodicity for positive contractions defined on L-space associated with finite von Neumann algebra, and in terms of this coefficient we prove stability results for L-contractions.

This study involves longitudinal and point-in-time surveys of Salmonella carriage and environmental contamination on two commercial cage layer farms positive for Salmonella enterica subsp. enterica serovar Typhimurium (flock A age, 32 weeks; flock B age, 34 weeks). Salmonella-positive fecal, egg belt, and dust samples were all unconditionally associated with eggshells testing positive for Salmo...