Probability inequalities with exponential bounds for \(U\)-statistics (Q1181114)
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: Probability inequalities with exponential bounds for \(U\)-statistics |
scientific article; zbMATH DE number 27777
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Probability inequalities with exponential bounds for \(U\)-statistics |
scientific article; zbMATH DE number 27777 |
Statements
Probability inequalities with exponential bounds for \(U\)-statistics (English)
0 references
27 June 1992
0 references
Exponential bounds are given for tail probabilities of \(U\)-statistics whose kernels satisfy certain moment restrictions. If the kernels are indicator functions only taking the values 0 and 1, then a second bound is derived. This bound is used to obtain an improved exponential bound for the tail probabilities of a binomial random variable.
0 references
exponential inequalities
0 references
Bernoulli kernels
0 references
tail probabilities of \(U\)- statistics
0 references
binomial random variable
0 references
