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Asymptotic expansions based on smooth functions in the central limit theorem


Barbour, A D (1986). Asymptotic expansions based on smooth functions in the central limit theorem. Probability Theory and Related Fields, 72(2):289-303.

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.

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.

Citations

19 citations in Web of Science®
18 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1986
Deposited On:20 Oct 2009 07:34
Last Modified:05 Apr 2016 13:29
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)

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