Relationships between Donsker classes and Sobolev spaces

By David J. Marcus. 1985

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Richard Nickl
2. Bharath K. Sriperumbudur
3. Evarist Gin'e
4. Victor Chernozhukov
5. I. Castillo
6. B. M. Potscher
7. Arthur Gretton
8. Kolyan Ray

Citations in the corpus

• On the optimal estimation of probability measures in weak and strong topologies (2013, methodology): “Therefore, by [24, Theorem 1.1], − F H ) G P by Slutsky’s lemma and Theorem 4.”
• Uniform central limit theorems for kernel density estimators (2008, background): “It is known that norm-balls in Ws2(R) are universal Donsker classes if and only if s > 1/2 holds, see Marcus [16].”
• Bracketing Metric Entropy Rates and Empirical Central Limit Theorems for Function Classes of Besov- and Sobolev-Type (2007, methodology): “For this we use a result of Marcus [23], which in turn builds on Giné [15].”