A converse to Scheffé's theorem (Q1059947)
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: A converse to Scheffé's theorem |
scientific article; zbMATH DE number 3905631
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A converse to Scheffé's theorem |
scientific article; zbMATH DE number 3905631 |
Statements
A converse to Scheffé's theorem (English)
0 references
1985
0 references
Convergence of densities implies convergence of their distribution functions via Scheffé's theorem. This paper is concerned with the converse: what are sufficient conditions to obtain convergence of densities from convergence of distribution functions? A general lemma is given and local limit results are obtained for translation and scale statistics.
0 references
translation statistics
0 references
Convergence of densities
0 references
Scheffé's theorem
0 references
convergence of distribution functions
0 references
local limit results
0 references
scale statistics
0 references
