Abstract

Jiashun Jin, Carnegie Mellon University

"Innovated higher criticism and statisticians’ networks"

One line of my work that has been significantly influenced by Professor Hall is my work on Higher Criticism, especially the paper on Innovated Higher Criticism (Hall and Jin , 2010). This paper studies the interaction between rare/weak signals and the correlation structure of the noise, and is connected to recent interests on Fisher's Linear Discriminant Analysis (LDA), precision matrix estimation, and the graphlet screening idea in variable selection. I will briefly introduce the idea of Innovated Higher Criticism, and explains its connection to the other ideas aforementioned.

Compared to his paramount achievements in theory, Professor Hall's strong interest in real-world applications and new data types may seem unfamiliar to many, but it has also influenced me in a significant way, especially on my work Ji and Jin (2016). In this paper, we have collected statisticians' coauthorship and citation networks, using papers published in about 20 statistical journals spanning 30-40 years. I will introduce some structures we find in this data set, focusing on Professor Hall's coauthorship and citation networks.