Some optimal bounds in the central limit theorem using zero biasing (Q419161)
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: Some optimal bounds in the central limit theorem using zero biasing |
scientific article; zbMATH DE number 6036272
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some optimal bounds in the central limit theorem using zero biasing |
scientific article; zbMATH DE number 6036272 |
Statements
Some optimal bounds in the central limit theorem using zero biasing (English)
0 references
18 May 2012
0 references
A wide class of probability metrics is concerned. Optimal estimates for the proximity between a probability distribution and its zero bias transformation are derived. The reduction technique of Hoeffding is used. A theorem concerning the bounds of convergence in the central limit theorem is formulated and proved when the moments of order \(2< s\leq 3\) are finite, using the ideal metrics introduced by Zolotarev.
0 references
central limit theorem (CLT)
0 references
convergence rate
0 references
zero biasing
0 references
0 references
