Stein's method has emerged as a critical framework in the study of distributional approximations, providing quantitative bounds between probability distributions through the formulation and solution ...

Sampling from generative models has become a crucial tool for applications like data synthesis and augmentation. Diffusion, Flow Matching and Continuous Normalizing Flows have shown effectiveness ...

A class of linear combinations of order statistics (LCOSs) based on a random sample drawn from an arbitrary distribution is represented as a sum of independent and identically distributed random ...

Abstract: Presented is a simple real-data example with analysis of direct pressure measurements by electronic pressure transducer sensors, which illustrates our new method for obtaining exact ...

The Central Limit Theorem (CLT) says that the distribution of a sum of independent random variables from a given population converges to the normal distribution as the sample size increases, ...