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Estimation of a continuous distribution on the real line by discretization methods
https://shinshu.repo.nii.ac.jp/records/44763
https://shinshu.repo.nii.ac.jp/records/4476321c4fc5f-15a0-45ae-9f71-b254ec48978e
名前 / ファイル | ライセンス | アクション |
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https://soar-ir.repo.nii.ac.jp/?action=repository_action_common_download&item_id=20887&item_no=1&attribute_id=65&file_no=1
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Item type | Journal Article(1) | |||||
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公開日 | 2021-03-01 | |||||
タイトル | ||||||
タイトル | Estimation of a continuous distribution on the real line by discretization methods | |||||
作成者(その他言語) |
Sheena, Yo
× Sheena, Yo |
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公開者(その他言語) | ||||||
姓名 | SPRINGER, HEIDELBERG | |||||
書誌情報 |
METRIKA 巻 82, 号 3, p. 339-360, 発行日 2019-04 |
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言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | f-divergence | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Alpha-divergence | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Asymptotic risk | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Asymptotic expansion | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Multinomial distribution | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
アクセス権 | ||||||
アクセス権 | metadata only access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_14cb | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | First Online: 24 September 2018 | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | For an unknown continuous distribution on the real line, we consider the approximate estimation by discretization. There are two methods for discretization. The first method is to divide the real line into several intervals before taking samples (fixed interval method). The second method is to divide the real line using the estimated percentiles after taking samples (moving interval method). In either method, we arrive at the estimation problem of a multinomial distribution. We use (symmetrized) f-divergence to measure the discrepancy between the true distribution and the estimated distribution. Our main result is the asymptotic expansion of the risk (i.e., expected divergence) up to the second-order term in the sample size. We prove theoretically that the moving interval method is asymptotically superior to the fixed interval method. We also observe how the presupposed intervals (fixed interval method) or percentiles (moving interval method) affect the asymptotic risk. | |||||
日付 | ||||||
日付 | 2019-09-17 | |||||
日付タイプ | Created | |||||
資源タイプ | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article | |||||
その他の資源識別子 | ||||||
内容記述タイプ | Other | |||||
内容記述 | METRIKA. 82(3):339-360 (2019) | |||||
資源識別子URI | ||||||
識別子 | http://hdl.handle.net/10091/00021644 | |||||
識別子タイプ | HDL | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0026-1335 | |||||
処理レコードID(総合目録DB) | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00284719 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1007/s00184-018-0683-y | |||||
権利 | ||||||
権利情報 | The final publication is available at link.springer.com | |||||
権利 | ||||||
権利情報 | The final publication is available at link.springer.com | |||||
著者版フラグ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa |