Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability (Q1773318)
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: Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability |
scientific article; zbMATH DE number 2162028
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability |
scientific article; zbMATH DE number 2162028 |
Statements
Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability (English)
0 references
28 April 2005
0 references
A new concept of integrability, called \(h\)-integrability, is introduced and, under this condition, mean convergence theorems and weak laws of large numbers for weighted sums of dependent random variables are obtained.
0 references
Uniform integrability
0 references
Weighted sums
0 references
Integrability concerning the weights
0 references
Negative dependence
0 references
Non-positive correlation
0 references
\(\varphi\)-Mixing sequence
0 references
Random elements
0 references
Martingale type Banach space
0 references
0 references
0 references
0.9764799
0 references
0.97211945
0 references
0 references
0.9445668
0 references
0.9407914
0 references
0.93642163
0 references
0.93534994
0 references
0.93530893
0 references
