{"created":"2023-05-15T16:14:30.513215+00:00","id":45072,"links":{},"metadata":{"_buckets":{"deposit":"b52e5a31-f978-482e-bc0a-a167844584fc"},"_deposit":{"created_by":25,"id":"45072","owners":[25],"pid":{"revision_id":0,"type":"depid","value":"45072"},"status":"published"},"_oai":{"id":"oai:shinshu.repo.nii.ac.jp:00045072","sets":["2668"]},"author_link":["174573","174574"],"item_20002_biblio_info_27":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2017-07","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"4","bibliographicPageEnd":"230","bibliographicPageStart":"187","bibliographicVolumeNumber":"53","bibliographic_titles":[{"bibliographic_title":"Far East Journal of Theoretical Statistics"}]}]},"item_20002_creator_3":{"attribute_name":"作成者(その他言語)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Sheena, Yo"}],"nameIdentifiers":[{}]}]},"item_20002_date_19":{"attribute_name":"日付","attribute_value_mlt":[{"subitem_date_issued_datetime":"2020-02-27","subitem_date_issued_type":"Created"}]},"item_20002_description_14":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"For a regression model, we consider the risk of the maximum likelihood estimator with respect to α-divergence, which includes the special cases of Kullback-Leibler divergence, Hellinger distance and χ2 divergence. The asymptotic expansion of the risk with respect to the sample size nis given up to the order n-2. We observe how the risk convergence speed (to zero) is affected by the error term distributions and the magnitude of the joint moments of the standardized explanatory variables under three concrete error term distributions: a normal distribution, a t-distribution and a skew-normal distribution. We try to use the (approximated) risk of m.l.e. as a measure of the difficulty of estimation for the regression model. Especially comparing the value of the (approximated) risk with that of a binomial distribution, we can give a certain standard for the sample size required to estimate the regression model.","subitem_description_type":"Other"}]},"item_20002_description_20":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"Article","subitem_description_type":"Other"}]},"item_20002_description_22":{"attribute_name":"その他の資源識別子","attribute_value_mlt":[{"subitem_description":"Far East Journal of Theoretical Statistics.53(4):187-230(2017)","subitem_description_type":"Other"}]},"item_20002_full_name_16":{"attribute_name":"公開者(その他言語)","attribute_value_mlt":[{"nameIdentifiers":[{}],"names":[{"name":"Pushpa, Publishing House"}]}]},"item_20002_identifier_23":{"attribute_name":"資源識別子URI","attribute_value_mlt":[{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/10091/00021869"}]},"item_20002_relation_32":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://dx.doi.org/10.17654/TS053040187","subitem_relation_type_select":"DOI"}}]},"item_20002_source_id_25":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0972-0863","subitem_source_identifier_type":"ISSN"}]},"item_20002_source_id_26":{"attribute_name":"処理レコードID(総合目録DB)","attribute_value_mlt":[{"subitem_source_identifier":"AA11602995","subitem_source_identifier_type":"NCID"}]},"item_20002_version_type_51":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"metadata only access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_14cb"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"url":{"url":"https://soar-ir.repo.nii.ac.jp/?action=repository_action_common_download&item_id=21112&item_no=1&attribute_id=65&file_no=1"}}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"alpha divergence","subitem_subject_scheme":"Other"},{"subitem_subject":"asymptotic expansion","subitem_subject_scheme":"Other"},{"subitem_subject":"regression model","subitem_subject_scheme":"Other"},{"subitem_subject":"asymptotic risk","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":"Asymptotic Expansion of Risk for a Regression Model with respect to α-Divergence with an Application to the Sample Size Problem","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Asymptotic Expansion of Risk for a Regression Model with respect to α-Divergence with an Application to the Sample Size Problem"}]},"item_type_id":"20002","owner":"25","path":["2668"],"pubdate":{"attribute_name":"公開日","attribute_value":"2021-03-01"},"publish_date":"2021-03-01","publish_status":"0","recid":"45072","relation_version_is_last":true,"title":["Asymptotic Expansion of Risk for a Regression Model with respect to α-Divergence with an Application to the Sample Size Problem"],"weko_creator_id":"25","weko_shared_id":-1},"updated":"2023-05-15T17:55:40.616916+00:00"}