His work mainly concerned fields of probability, mathematical statistics, and machine learning, with highly influential contributions to the theory of Gaussian processes and empirical processes. He published over a hundred papers in peer-reviewed journals and authored several books. His specialty was
probability theory and
statistics, especially
empirical processes. He is often noted for
his results on the so-called
Dudley entropy integral. In 2012 he became a fellow of the
American Mathematical Society. == Books ==