Post by INFORMS Quality Statistics and Reliability (QSR)

🌟INFORMS QSR Member Spotlight🌟 Xiaoyu Chen, an assistant professor from University at Buffalo Industrial and Systems Engineering, received the prestigious National Science Foundation (NSF) Career Award. In many modern scientific and engineering applications, including single cell biology, biotechnology, and advanced manufacturing, data are naturally represented by probability distributions, such as histograms or probability functions, describing variability within measurements. However, most current analytical methods reduce this rich distributional information to simple summary statistics, such as averages, thereby discarding valuable information and potentially limiting scientific insights. This CAREER project will establish the statistical foundations for a distribution-in-distribution-out analytical framework that enables regression modeling, estimation, and inference when both predictors and responses may be either scalar-valued or distribution-valued random variables. The project leverages differential geometry to define linear and nonlinear regression intrinsically in the curved space of probability distributions, moving beyond traditional approaches that operate exclusively in Euclidean space. Project details: https://lnkd.in/ebunMGvf