𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Limit theorems for the empirical distribution function in the spatial case

✍ Scribed by István Fazekas


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
263 KB
Volume
62
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

✦ Synopsis


Functional central limit theorems are proved for the empirical distribution function of strictly stationary and weakly dependent random ÿelds. The theorems cover the discrete and the continuous parameter ÿelds and the case when the observations become dense in a sequence of increasing domains.


📜 SIMILAR VOLUMES


Reiteration theorems for the K-interpola
✍ I. Ahmed; D. E. Edmunds; W. D. Evans; G. E. Karadzhov 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB

Sharp reiteration theorems for the K-interpolation method in limiting cases are proved using two-sided estimates of the K-functional. As an application, sharp mapping properties of the Riesz potential are derived in a limiting case.