His research has included statistical problems involving infinitely many parameters, as well as nonparametric statistics.

Wasserman, Larry (2007) All of nonparametric statistics, Springer.

More recently, methods based on ideas from nonparametric statistics (which can be seen to construct their own features) have been explored.

In statistical science, David S. Moore has done research in the asymptotic theory of robust and nonparametric statistics.

Currently, his main research interests are in nonparametric and high-dimensional statistics.

Dirichlet processes are frequently used in Bayesian nonparametric statistics.

An example is the Dirichlet process, which falls in the realm of nonparametric statistics.

He and his student developed the ("Mann-Whitney") U-statistic of nonparametric statistics.

Many of his publications are related to rank-based nonparametric statistics.

Tseng's software for matching has similarly been used in nonparametric statistics to implement exact tests.