Richard M. Dudley

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 has published over a hundred papers in peer-reviewed journals and has written several books. His specialty is probability theory and statistics, especially empirical processes.

He is often noted for his results on the so-called Dudley entropy integral.

* cite book
first=R.M.
last=Dudley
coauthors=R. Norvaisa, J. Qian
chapter=Differentiability of Six Operators on Nonsmooth Functions and P-Variation
title=Lecture Notes in Mathematics
publisher=Springer-Verlag
year=1999

* cite book
first=R.M.
last=Dudley
title=A Course on Empirical Processes
series=Lecture Notes in Mathematics
publisher=Springer-Verlag
year=1984

References

# R.M. Dudley, "The sizes of compact subsets of Hilbert space and continuity of Gaussian processes," Journal of Functional Analysis, 1:290-330, 1967
# R.M. Dudley, Uniform Central Limit Theorems, Cambridge Studies in Advanced Mathematics, 63, Cambridge University Press, Cambridge, UK, 1999.
# [http://ocw.mit.edu/OcwWeb/Mathematics/18-465Spring-2004/LectureNotes/index.htm Exposition] of statistical learning theory, including Dudley's entropy integral.
# R. S. Wenocur and R. M. Dudley, "Some special Vapnik-Chervonenkis classes," Discrete Mathematics, vol. 33, pp. 313--318, 1981, cited and employed in research on neural nets and surgery of the inner ear.

External links

* [http://scholar.google.com/scholar?as_q=author:rm+dudley Publications] from Google Scholar.
* [http://ocw.mit.edu/OcwWeb/Mathematics/18-466Mathematical-StatisticsSpring2003/LectureNotes/index.htm Lecture Notes on Mathematical Statistics] , part of a book-in-progress by Richard M. Dudley.
* [http://genealogy.math.ndsu.nodak.edu/html/id.phtml?id=14968 Mathematical Genealogy] of Richard M. Dudley.