Richard M. Dudley
Encyclopedia
Richard Mansfield Dudley is Professor of Mathematics at the Massachusetts Institute of Technology
. He received his PhD at Princeton University
in 1962 under the supervision of Edward Nelson
and Gilbert Hunt. He was a Putnam Fellow in 1958.
He has published over a hundred papers in peer-reviewed journals and has written several books. His specialty is probability theory
and statistics
, especially empirical process
es.
He is often noted for his results
on the so-called Dudley entropy integral.
Massachusetts Institute of Technology
The Massachusetts Institute of Technology is a private research university located in Cambridge, Massachusetts. MIT has five schools and one college, containing a total of 32 academic departments, with a strong emphasis on scientific and technological education and research.Founded in 1861 in...
. He received his PhD at Princeton University
Princeton University
Princeton University is a private research university located in Princeton, New Jersey, United States. The school is one of the eight universities of the Ivy League, and is one of the nine Colonial Colleges founded before the American Revolution....
in 1962 under the supervision of Edward Nelson
Edward Nelson
Edward Nelson is a professor in the Mathematics Department at Princeton University. He is known for his work on mathematical physics and mathematical logic...
and Gilbert Hunt. He was a Putnam Fellow in 1958.
He has published over a hundred papers in peer-reviewed journals and has written several books. His specialty is probability theory
Probability theory
Probability theory is the branch of mathematics concerned with analysis of random phenomena. The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities that may either be single...
and statistics
Statistics
Statistics is the study of the collection, organization, analysis, and interpretation of data. It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments....
, especially empirical process
Empirical process
The study of empirical processes is a branch of mathematical statistics and a sub-area of probability theory. It is a generalization of the central limit theorem for empirical measures...
es.
He is often noted for his results
Dudley's theorem
In probability theory, Dudley’s theorem is a result relating the expected upper bound and regularity properties of a Gaussian process to its entropy and covariance structure. The result was proved in a landmark 1967 paper of Richard M...
on the so-called Dudley entropy integral.
External links
- Publications from Google ScholarGoogle ScholarGoogle Scholar is a freely accessible web search engine that indexes the full text of scholarly literature across an array of publishing formats and disciplines. Released in beta in November 2004, the Google Scholar index includes most peer-reviewed online journals of Europe and America's largest...
. - Lecture Notes on Mathematical Statistics, part of a book-in-progress by Richard M. Dudley.
- Mathematical Genealogy of Richard M. Dudley.