Mathematician:Richard Mansfield Dudley

Mathematician

American mathematician whose main fields of study are real analysis and probability theory.

Nationality

American

History

• Born: July 28, 1938, Cleveland, Ohio, United States

Theorems and Definitions

• Dudley Entropy Integral

Publications

• 1967: The sizes of compact subsets of Hilbert space and continuity of Gaussian processes (Journal of Functional Analysis Vol. 1: pp. 290 – 330)
• 1981: Some special Vapnik–Chervonenkis classes (Discrete Mathematics Vol. 33: pp. 313 – 318) (with R.S. Wenocur)
• 1984: A Course on Empirical Processes
• 1989: Real Analysis and Probability
• 1999: Uniform Central Limit Theorems
• 1999: Differentiability of Six Operators on Nonsmooth Functions and P-Variation (with R. Norvaisa and J. Qian)
• 2002: Real Analysis and Probability, 2nd ed.