𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Weak Convergence of Smoothed Empirical Processes

✍ Scribed by Aad van der Vaart

Book ID
121321818
Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
399 KB
Volume
21
Category
Article
ISSN
0303-6898

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Necessary and sufficient conditions for
Necessary and sufficient conditions for weak convergence of smoothed empirical processes
✍ Dragan RaduloviΔ‡; Marten Wegkamp πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 200 KB

Let X 1 ; : : : ; X n be a sequence of i.i.d. random variables with common distribution P on the real line. Assuming that P has a smooth density, we construct a histogram based estimator P n; H and establish weak convergence of the empirical process √ n(P n; H -P)(f) f∈F under sharp conditions. If

Weak convergence of smoothed empirical p
Weak convergence of smoothed empirical process in HΓΆlder spaces
✍ D. Hamadouche πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 411 KB

The Brownian bridge is well known to have Hrlder continuous sample paths with exponent c~ < 1/2 with probability one and to be the weak limit in C[0, 1] of the smoothed empirical process based on the empirical frequencies polygon. We propose to extend this weak convergence to Hrlder spaces. A genera