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.
Books
- Dudley, R.M. (1989). Real Analysis and Probability. Chapman & Hall.
- Dudley, R.M. (1999). Uniform Central Limit Theorems, Cambridge Studies in Advanced Mathematics, 63. Cambridge, UK: Cambridge University Press.
- Dudley, R.M.; R. Norvaisa, J. Qian (1999). "Differentiability of Six Operators on Nonsmooth Functions and P-Variation", Lecture Notes in Mathematics. Springer-Verlag.
- Dudley, R.M. (1984). A Course on Empirical Processes, Lecture Notes in Mathematics. Springer-Verlag.
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.
- ^ 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
- Publications from Google Scholar.
- Lecture Notes on Mathematical Statistics, part of a book-in-progress by Richard M. Dudley.
- Mathematical Genealogy of Richard M. Dudley.
