A Bayesian Edgeworth expansion by Stein's identity

Please use this identifier to cite or link to this item: https://ah.nccu.edu.tw/handle/140.119/61601

Title:	A Bayesian Edgeworth expansion by Stein's identity
Authors:	翁久幸 Weng, Ruby C.
Contributors:	統計系
Keywords:	Edgeworth expansion;Hermite polynomials;Laplace method;marginal posterior distribution;Stein's identity
Date:	2010.01
Issue Date:	2013-11-11 17:44:49 (UTC+8)
Abstract:	The Edgeworth expansion is a series that approximates a probability distribution in terms of its cumulants. One can derive it by first expanding the probability distribution in Hermite orthogonal functions and then collecting terms in powers of the sample size. This paper derives an expansion for posterior distributions which possesses these features of an Edgeworth series. The techniques used are a version of Stein's Identity and properties of Hermite polynomials. Two examples are provided to illustrate the accuracy of our series.
Relation:	Bayesian analysis, 5(4) , 741-764
Data Type:	article
DOI link:	http://dx.doi.org/10.1214/10-BA526
Appears in Collections:	[Department of Statistics] Periodical Articles

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