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Asymptotic second-order consistency for two-stage estimation methodologies and its applications
http://hdl.handle.net/2241/114080
http://hdl.handle.net/2241/11408049ca853b-83ef-43a7-8740-b23b402f2307
名前 / ファイル | ライセンス | アクション |
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AISM_62-3.pdf (203.1 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2011-10-12 | |||||
タイトル | ||||||
タイトル | Asymptotic second-order consistency for two-stage estimation methodologies and its applications | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Aoshima, Makoto
× Aoshima, Makoto× Yata, Kazuyoshi |
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著者別名 |
青嶋, 誠
× 青嶋, 誠× 矢田, 和善 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We consider fixed-size estimation for a linear function of means from independent and normally distributed populations having unknown and respective variances.We construct a fixed-width confidence interval with required accuracy about the magnitude of the length and the confidence coefficient. We propose a two-stage estimation methodology having the asymptotic second-order consistency with the required accuracy. The key is the asymptotic second-order analysis about the risk function.We give a variety of asymptotic characteristics about the estimation methodology, such as asymptotic sample size and asymptotic Fisher-information. With the help of the asymptotic second-order analysis, we also explore a number of generalizations and extensions of the two-stage methodology to such as bounded risk point estimation, multiple comparisons among components between the populations, and power analysis in equivalence tests to plan the appropriate sample size for a study. |
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書誌情報 |
Annals of the Institute of Statistical Mathematics 巻 62, 号 3, p. 571-600, 発行日 2010-06 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0020-3157 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00026236 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1007/s10463-008-0188-y | |||||
権利 | ||||||
権利情報 | © The Institute of Statistical Mathematics, Tokyo 2008. The original publication is available at www.springerlink.com | |||||
著者版フラグ | ||||||
値 | author | |||||
出版者 | ||||||
出版者 | Springer | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2241/114080 | |||||
識別子タイプ | HDL |