{"created":"2021-11-02T05:15:30.681426+00:00","id":2001767,"links":{},"metadata":{"_buckets":{"deposit":"9a403081-7f7a-47c9-a8b2-d0668debc427"},"_deposit":{"created_by":25,"id":"2001767","owner":"25","owners":[25],"owners_ext":{"displayname":"wataka","username":"kuma1008"},"pid":{"revision_id":0,"type":"depid","value":"2001767"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:02001767","sets":["117:1697","117:786","3:62:5296:1580"]},"author_link":["204965","215"],"control_number":"2001767","item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2021-06","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"622","bibliographicPageStart":"599","bibliographicVolumeNumber":"73","bibliographic_titles":[{"bibliographic_title":"Annals of the Institute of Statistical Mathematics","bibliographic_titleLang":"en"}]}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We consider hypothesis testing for high-dimensional covariance structures in which the covariance matrix is a (i) scaled identity matrix, (ii) diagonal matrix, or (iii) intraclass covariance matrix. Our purpose is to systematically establish a nonparametric approach for testing the high-dimensional covariance structures (i)–(iii). We produce a new common test statistic for each covariance structure and show that the test statistic is an unbiased estimator of its corresponding test parameter. We prove that the test statistic establishes the asymptotic normality. We propose a new test procedure for (i)–(iii) and evaluate its asymptotic size and power theoretically when both the dimension and sample size increase. We investigate the performance of the proposed test procedure in simulations. As an application of testing the covariance structures, we give a test procedure to identify an eigenvector. Finally, we demonstrate the proposed test procedure by using a microarray data set.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_5_publisher_27":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Springer","subitem_publisher_language":"en"}]},"item_5_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1007/s10463-020-00760-5","subitem_relation_type_select":"DOI"}}]},"item_5_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© The Institute of Statistical Mathematics, Tokyo 2020  This is a post-peer-review, pre-copyedit version of an article published in Annals of the Institute of Statistical Mathematics. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10463-020-00760-5","subitem_rights_language":"en"}]},"item_5_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_5_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0020-3157","subitem_source_identifier_type":"PISSN"}]},"item_5_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00026236","subitem_source_identifier_type":"NCID"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ishii, Aki","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"矢田, 和善","creatorNameLang":"ja"},{"creatorName":"ヤタ, カズヨシ","creatorNameLang":"ja-Kana"},{"creatorName":"YATA, Kazuyoshi","creatorNameLang":"en"}],"familyNames":[{},{},{}],"givenNames":[{},{},{}],"nameIdentifiers":[{},{},{}]},{"creatorNames":[{"creatorName":"青嶋, 誠","creatorNameLang":"ja"},{"creatorName":"アオシマ, マコト","creatorNameLang":"ja-Kana"},{"creatorName":"AOSHIMA, Makoto","creatorNameLang":"en"}],"familyNames":[{},{},{}],"givenNames":[{},{},{}],"nameIdentifiers":[{},{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-08-03"}],"displaytype":"detail","filename":"AISM_73-3.pdf","filesize":[{"value":"1.1 MB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://tsukuba.repo.nii.ac.jp/record/2001767/files/AISM_73-3.pdf"},"version_id":"ac57010f-6b0a-4128-be57-ab0fdd370a97"},{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-08-03"}],"displaytype":"detail","filename":"AISM_73-3supple.pdf","filesize":[{"value":"94 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://tsukuba.repo.nii.ac.jp/record/2001767/files/AISM_73-3supple.pdf"},"version_id":"b9b6be92-a86c-4bdd-a0c6-f657f4ecffcd"}]},"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":"Hypothesis tests for high-dimensional covariance structures","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Hypothesis tests for high-dimensional covariance structures","subitem_title_language":"en"}]},"item_type_id":"5","owner":"25","path":["786","1697","1580"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2021-11-02"},"publish_date":"2021-11-02","publish_status":"0","recid":"2001767","relation_version_is_last":true,"title":["Hypothesis tests for high-dimensional covariance structures"],"weko_creator_id":"25","weko_shared_id":-1},"updated":"2022-04-27T10:17:59.090776+00:00"}