Stein's method has emerged as a powerful and versatile tool in probability theory for deriving error bounds in distributional approximations. Originally developed to ...

Let $Q$ be a fixed probability on the Borel $\sigma$-field in $R^n$ and $H$ be an energy function continuous in $R^n$. A set $N$ is related to $H$ by $N = \{x \mid ...

Classical real-valued probabilities come at a philosophical cost: in many infinite situations, they assign the same probability value—namely, zero—to cases that are impossible as well as to cases that ...

Benjamin P. Horton was supported by the Singapore Ministry of Education Academic Research Fund: MOE2019-T3-1-004. Benjamin S. Grandey's research is supported by the National Research Foundation, ...