𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An exponential inequality for the distribution function of the kernel density estimator, with applications to adaptive estimation

✍ Scribed by Evarist Giné; Richard Nickl


Publisher
Springer
Year
2008
Tongue
English
Weight
339 KB
Volume
143
Category
Article
ISSN
1432-2064

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


On moment inequalities of the supremum o
✍ Ibrahim A. Ahmad 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 97 KB

Let X 1 ; : : : ; X n be a random sample from a distribution function F. Let F n (x) = (1=n) n i=1 I (X i 6 x) denote the corresponding empirical distribution function. The empirical process is deÿned by In this note, upper bounds are found for E(D n ) and for E(e tDn ); where D n =sup x D n (x): A