WEKO3
アイテム
{"_buckets": {"deposit": "651e738f-1606-4d29-b243-1c759039773c"}, "_deposit": {"id": "20887", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "20887"}, "status": "published"}, "_oai": {"id": "oai:soar-ir.repo.nii.ac.jp:00020887", "sets": ["311"]}, "author_link": ["108562"], "control_number": "20887", "item_1628147817048": {"attribute_name": "出版タイプ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_ab4af688f83e57aa", "subitem_version_type": "AM"}]}, "item_6_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2019-04", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "3", "bibliographicPageEnd": "360", "bibliographicPageStart": "339", "bibliographicVolumeNumber": "82", "bibliographic_titles": [{"bibliographic_title": "METRIKA"}]}]}, "item_6_description_19": {"attribute_name": "内容記述", "attribute_value_mlt": [{"subitem_description": "First Online: 24 September 2018", "subitem_description_type": "Other"}]}, "item_6_description_20": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "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.", "subitem_description_type": "Abstract"}]}, "item_6_description_30": {"attribute_name": "資源タイプ(コンテンツの種類)", "attribute_value_mlt": [{"subitem_description": "Article", "subitem_description_type": "Other"}]}, "item_6_description_5": {"attribute_name": "引用", "attribute_value_mlt": [{"subitem_description": "METRIKA. 82(3):339-360 (2019)", "subitem_description_type": "Other"}]}, "item_6_link_67": {"attribute_name": "WoS", "attribute_value_mlt": [{"subitem_link_text": "Web of Science", "subitem_link_url": "http://gateway.isiknowledge.com/gateway/Gateway.cgi?\u0026GWVersion=2\u0026SrcAuth=ShinshuUniv\u0026SrcApp=ShinshuUniv\u0026DestLinkType=FullRecord\u0026DestApp=WOS\u0026KeyUT=000466947700003"}]}, "item_6_publisher_4": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "SPRINGER HEIDELBERG"}]}, "item_6_relation_48": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_name": [{"subitem_relation_name_text": "10.1007/s00184-018-0683-y"}], "subitem_relation_type_id": {"subitem_relation_type_id_text": "https://doi.org/10.1007/s00184-018-0683-y", "subitem_relation_type_select": "DOI"}}]}, "item_6_rights_62": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "The final publication is available at link.springer.com"}]}, "item_6_select_64": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "author"}]}, "item_6_source_id_35": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0026-1335", "subitem_source_identifier_type": "PISSN"}]}, "item_6_source_id_39": {"attribute_name": "NII ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0026-1335", "subitem_source_identifier_type": "PISSN"}]}, "item_6_source_id_40": {"attribute_name": "書誌レコードID", "attribute_value_mlt": [{"subitem_source_identifier": "AA00284719", "subitem_source_identifier_type": "NCID"}]}, "item_6_text_69": {"attribute_name": "wosonly authkey", "attribute_value_mlt": [{"subitem_text_value": "f-divergence; Alpha-divergence; Asymptotic risk; Asymptotic expansion; Multinomial distribution"}]}, "item_6_textarea_68": {"attribute_name": "wosonly abstract", "attribute_value_mlt": [{"subitem_textarea_value": "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."}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Sheena, Yo", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "108562", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2019-09-24"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "discretized_contin_ver4.pdf", "filesize": [{"value": "284.0 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensefree": "The final publication is available at link.springer.com", "licensetype": "license_note", "mimetype": "application/pdf", "size": 284000.0, "url": {"label": "discretized_contin_ver4.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/20887/files/discretized_contin_ver4.pdf"}, "version_id": "5a95e4af-3aa7-419b-9893-18477f202c18"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "f-divergence", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Alpha-divergence", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Asymptotic risk", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Asymptotic expansion", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Multinomial distribution", "subitem_subject_scheme": "Other"}]}, "item_language": {"attribute_name": "言語", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Estimation of a continuous distribution on the real line by discretization methods", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Estimation of a continuous distribution on the real line by discretization methods", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["311"], "permalink_uri": "http://hdl.handle.net/10091/00021644", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2019-09-17"}, "publish_date": "2019-09-17", "publish_status": "0", "recid": "20887", "relation": {}, "relation_version_is_last": true, "title": ["Estimation of a continuous distribution on the real line by discretization methods"], "weko_shared_id": 3}
Estimation of a continuous distribution on the real line by discretization methods
http://hdl.handle.net/10091/00021644
http://hdl.handle.net/10091/00021644223f5e0a-1583-4216-b429-cc5be6d7a80f
名前 / ファイル | ライセンス | アクション |
---|---|---|
discretized_contin_ver4.pdf (284.0 kB)
|
|
Item type | 学術雑誌論文 / Journal Article(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2019-09-17 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Estimation of a continuous distribution on the real line by discretization methods | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | f-divergence, Alpha-divergence, Asymptotic risk, Asymptotic expansion, Multinomial distribution | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Sheena, Yo
× Sheena, Yo |
|||||
出版者 | ||||||
出版者 | SPRINGER HEIDELBERG | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | METRIKA. 82(3):339-360 (2019) | |||||
書誌情報 |
METRIKA 巻 82, 号 3, p. 339-360, 発行日 2019-04 |
|||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | First Online: 24 September 2018 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
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. | |||||
資源タイプ(コンテンツの種類) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0026-1335 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00284719 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1007/s00184-018-0683-y | |||||
関連名称 | 10.1007/s00184-018-0683-y | |||||
権利 | ||||||
権利情報 | The final publication is available at link.springer.com | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
WoS | ||||||
表示名 | Web of Science | |||||
URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000466947700003 |