Titlebook: High Dimensional Probability II; Evarist Giné,David M. Mason,Jon A. Wellner Conference proceedings 2000 Springer Science+Business Media Ne

Exposition

On Uniform Laws of Large Numbers for Smoothed Empirical Measuresvenko-Cantelli results in the non-smoothed case. Using the random measure process approach we are able to give a set of sufficient conditions for a ULLN which are different from the ones known in the literature and are more close to being necessary.

慢跑鞋

Weak Convergence of Smoothed Empirical Processes: Beyond Donsker Classeson a kernel estimate ., and indexed by a class of uniformly bounded functions .. Assuming that . has a smooth density, we demonstrate that the smoothed empirical process converges weakly to a tight Gaussian limit for classes . that are not necessarily .-Donsker. In addition, we provide some theory o

LIMIT

bizarre

有法律效应

Continuité de certaines fonctions aléatoires gaussiennes à valeurs dans ,,, 1 ≤ , < ∞ation de . à valeurs dans ..,1 ≤ . < ∞, et à trajectoires continues. On obtient en particulier une caractérisation pour . = 2 si . = .. et si les composantes sont stationnaires; cette caractérisation s’étend aussi à certains cas non stationnaires sur un espace métrique compact . arbitraire. Les tech

magenta

A Note on the Gaussian Correlation Conjectureence of small ball constants. We hope this sheds light on the conjecture and points out new directions for useful partial results. A simple proof for another useful correlation inequality needed in our argument is also presented.

ARC

The Azéma-Yor Embedding in Brownian Motion with Driftsitive density .. Then there exists a stopping time T.. of . such that.. the following condition is satisfied:. Setting in this case . the following . formula is valid:. where the map . for . > .. is expressed through its inverse by. and we set . for . ≤ ... This settles the question raised in [6].

wangle

实施生效

Conference proceedings 2000perimetry and concentration of measure, which apply to areas well beyond those for which they were created. The general theory of em­ pirical processes, with its vast applications in statistics, the study of local times of Markov processes, certain problems in harmonic analysis, and the general theo

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