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題名 A Bayesian Edgeworth expansion by Stein`s identity
作者 翁久幸
Weng, Ruby C.
貢獻者 統計系
關鍵詞 Edgeworth expansion; Hermite polynomials; Laplace method; marginal posterior distribution; Stein`s identity
日期 2010.01
上傳時間 11-Nov-2013 17:44:49 (UTC+8)
摘要 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.
關聯 Bayesian analysis, 5(4) , 741-764
資料類型 article
DOI http://dx.doi.org/10.1214/10-BA526
dc.contributor 統計系en_US
dc.creator (作者) 翁久幸zh_TW
dc.creator (作者) Weng, Ruby C.-
dc.date (日期) 2010.01en_US
dc.date.accessioned 11-Nov-2013 17:44:49 (UTC+8)-
dc.date.available 11-Nov-2013 17:44:49 (UTC+8)-
dc.date.issued (上傳時間) 11-Nov-2013 17:44:49 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/61601-
dc.description.abstract (摘要) 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.en_US
dc.format.extent 400404 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Bayesian analysis, 5(4) , 741-764en_US
dc.subject (關鍵詞) Edgeworth expansion; Hermite polynomials; Laplace method; marginal posterior distribution; Stein`s identityen_US
dc.title (題名) A Bayesian Edgeworth expansion by Stein`s identityen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1214/10-BA526en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1214/10-BA526en_US