Abstract
We derive Berry-Esséen bounds for a class of Studentized statistics. The results are applied to Studentized U-statistics, Studentized L-statistics and Studentized functions of the sample mean to give the Berry-Esséen bounds under conditions weaker than those obtained by alternative methods.
| Original language | English |
|---|---|
| Pages (from-to) | 511-535 |
| Number of pages | 25 |
| Journal | Annals of Probability |
| Volume | 28 |
| Issue number | 1 |
| Publication status | Published - 1 Jan 2000 |
Keywords
- Berry-Esséen bound
- Studentized L-statistic
- Studentized U-statistic
- Studentized functions of the sample mean