Barbour, A D (1986). Asymptotic expansions based on smooth functions in the central limit theorem. Probability Theory and Related Fields, 72(2):289-303.
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Abstract
Stein's method is used to derive asymptotic expansions for expectations of smooth functions of sums of independent random variables, together with Lyapounov estimates of the error in the approximation.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| DDC: | 510 Mathematics |
| Language: | English |
| Date: | 1986 |
| Deposited On: | 20 Oct 2009 09:34 |
| Last Modified: | 23 Nov 2012 17:00 |
| Publisher: | Springer |
| ISSN: | 0178-8051 |
| Additional Information: | The original publication is available at www.springerlink.com |
| Free access at: | Related URL. An embargo period may apply. |
| Publisher DOI: | 10.1007/BF00699108 |
| Related URLs: | http://user.math.uzh.ch/barbour/pub/Barbour/AsympExpanPois.pdf (Author) |
| WoS Citation Count: | 15 |
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