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Barbour, A D; Hall, P (1984). Stein's method and the Berry-Esseen theorem. Australian Journal of Statistics, 26(1):8-15.
Stein's method is used to prove the Lindeberg-Feller theorem and a generalization of the Berry-Esséen theorem. The arguments involve only manipulation of probability inequalities, and form an attractive alternative to the less direct Fourier-analytic methods which are traditionally employed.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistics and Probability |
| Language: | English |
| Date: | 1984 |
| Deposited On: | 19 Oct 2009 13:16 |
| Last Modified: | 23 Jan 2022 14:51 |
| Publisher: | Wiley-Blackwell |
| ISSN: | 0004-9581 |
| OA Status: | Closed |
| Free access at: | Related URL. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1111/j.1467-842X.1984.tb01262.x |
| Related URLs: | http://user.math.uzh.ch/barbour/pub/Barbour/BHall_SteinBE.pdf (Author) |
Barbour, A D