Robust Estimation under Huber's Contamination Model

This talk describes some new challenges and results in high-dimensional and nonparametric statistics under the celebrated Huber’s contamination model. We particularly focus on the influence of contamination on the minimax rates and the corresponding rate-optimal procedures.

Mediation Analysis of High-Dimensional Microbiome and Host Genome Data

Estimating diversity and relative abundance in microbial communities

Nonparametric Estimation of a Two-component Mixture Model with application to Multiple Testing   

We consider estimation and inference in a two-component mixture model where the distribution of one component is completely unknown. We develop methods for estimating the mixing proportion and

Assessing Procedures vs Assessing Evidence

Many statistical analyses are characterized by how often a procedure works: how often an interval covers a true value, a null hypothesis is rejected, an item is correctly classified, etc. But assessing how often a procedure works differs from assessing the evidence in a data set. Understanding the difference is prerequisite to understanding what matters in a given analysis: the procedure, the evidence, or both.

Developing an Web-based Dynamic Graphical Software for Statistics

Education, eStat

Recent advance in IT and network technology has enabled to develop the

statistical packages such as SAS, SPSS and R for mass data processing.

However, these well-known packages have not paid their attention to

develop a module for statistics education. Many individual developers

have developed software for statistics education, but the most of them