\(U\)-statistics on a lattice of i. i. d. random variables (Q1305293)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: \(U\)-statistics on a lattice of i. i. d. random variables |
scientific article; zbMATH DE number 1346171
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(U\)-statistics on a lattice of i. i. d. random variables |
scientific article; zbMATH DE number 1346171 |
Statements
\(U\)-statistics on a lattice of i. i. d. random variables (English)
0 references
9 May 2000
0 references
The authors extend several (most?) classical limit theorems for sums of i.i.d. random variables to the case of \(U\)-statistics based on multidimensionally indexed i.i.d. random variables. Martingale properties and an a.s. representation are essential ingredients.
0 references
0 references
0 references
