Identically distributed uncorrelated random variables not fulfilling the WLLN (Q2756106)
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: Identically distributed uncorrelated random variables not fulfilling the WLLN |
scientific article; zbMATH DE number 1672530
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Identically distributed uncorrelated random variables not fulfilling the WLLN |
scientific article; zbMATH DE number 1672530 |
Statements
12 November 2001
0 references
weak law of large numbers
0 references
uncorrelated identically distributed random variables
0 references
Identically distributed uncorrelated random variables not fulfilling the WLLN (English)
0 references
The authors prove that for each \(p\in [1,2)\) there exist identically distributed uncorrelated random variables \((X_n, n\geq 1)\) with \(E|X_1|^p<\infty\), not fulfilling the weak law of large numbers with the normalization constants \((1/n, n\geq 1)\).
0 references
