學術產出-期刊論文
題名 | A study of expansions of posterior distributions |
作者 | 翁久幸;許正宏 Weng, Ruby C. ; Hsu, Cheng-Hung |
貢獻者 | 統計系 |
日期 | 2013-01 |
上傳時間 | 6-十一月-2014 18:23:36 (UTC+8) |
摘要 | Johnson (1970) obtained expansions for marginal posterior distributions through Taylor expansions. Here, the posterior expansion is expressed in terms of the likelihood and the prior together with their derivatives. Recently, Weng (2010) used a version of Stein`s identity to derive a Bayesian Edgeworth expansion, expressed by posterior moments. Since the pivots used in these two articles are the same, it is of interest to compare these two expansions.We found that our O(t −1/2) term agrees with Johnson`s arithmetically, but the O(t −1) term does not. The simulations confirmed this finding and revealed that our O(t −1) term gives better performance than Johnson`s. |
關聯 | Communications in Statistics – Theory and Methods,42(2),346-364 |
資料類型 | article |
DOI | http://dx.doi.org/10.1080/03610926.2011.579701 |
dc.contributor | 統計系 | en_US |
dc.creator (作者) | 翁久幸;許正宏 | zh_TW |
dc.creator (作者) | Weng, Ruby C. ; Hsu, Cheng-Hung | - |
dc.date (日期) | 2013-01 | en_US |
dc.date.accessioned | 6-十一月-2014 18:23:36 (UTC+8) | - |
dc.date.available | 6-十一月-2014 18:23:36 (UTC+8) | - |
dc.date.issued (上傳時間) | 6-十一月-2014 18:23:36 (UTC+8) | - |
dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/71199 | - |
dc.description.abstract (摘要) | Johnson (1970) obtained expansions for marginal posterior distributions through Taylor expansions. Here, the posterior expansion is expressed in terms of the likelihood and the prior together with their derivatives. Recently, Weng (2010) used a version of Stein`s identity to derive a Bayesian Edgeworth expansion, expressed by posterior moments. Since the pivots used in these two articles are the same, it is of interest to compare these two expansions.We found that our O(t −1/2) term agrees with Johnson`s arithmetically, but the O(t −1) term does not. The simulations confirmed this finding and revealed that our O(t −1) term gives better performance than Johnson`s. | en_US |
dc.format.extent | 822861 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en_US | - |
dc.relation (關聯) | Communications in Statistics – Theory and Methods,42(2),346-364 | en_US |
dc.title (題名) | A study of expansions of posterior distributions | en_US |
dc.type (資料類型) | article | en |
dc.identifier.doi (DOI) | 10.1080/03610926.2011.579701 | en_US |
dc.doi.uri (DOI) | http://dx.doi.org/10.1080/03610926.2011.579701 | en_US |