{"created":"2023-06-20T15:10:36.937528+00:00","id":6836,"links":{},"metadata":{"_buckets":{"deposit":"fcefa701-25a1-42a0-8b0b-d08529a9f57c"},"_deposit":{"created_by":3,"id":"6836","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"6836"},"status":"published"},"_oai":{"id":"oai:ynu.repo.nii.ac.jp:00006836","sets":["616:627:657"]},"author_link":["29735"],"item_6_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1992","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"124","bibliographicPageStart":"115","bibliographicVolumeNumber":"39","bibliographic_titles":[{"bibliographic_title":"Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学"}]}]},"item_6_description_17":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_6_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let ＄f_{n}(x)＄ be the recursive kernel estimators of an unknown density function ＄f(x)＄ at a given point ＄x＄ . Also, let ＄N(t)(t>0)＄ be a family of positive integer-valued random variables. We consider the sequential estimators ＄f_{N(t)}(x)＄ . In this paper, under certain regularity conditions on ＄N(t)＄ we shall show that ＄(N(t)h_{N(t)}^{p})^{1/2}(f_{N(i)}(x)-f(x))＄ is asymptotically normally distributed as ＄t＄ tends to infinity. Our conditions on ＄N(t)＄ generalize those given by Carroll [2], Stute [9] and Isogai [6].","subitem_description_type":"Abstract"}]},"item_6_publisher_35":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Yokohama City University"}]},"item_6_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA0089285X","subitem_source_identifier_type":"NCID"}]},"item_6_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"00440523","subitem_source_identifier_type":"ISSN"}]},"item_6_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-21, Japan"}]},"item_6_version_type_18":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Isogai, Eiichi"}],"nameIdentifiers":[{"nameIdentifier":"29735","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":"2016-09-26"}],"displaytype":"detail","filename":"YMJ_39_N2_1992_115-124.pdf","filesize":[{"value":"796.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"YMJ_39_N2_1992_115-124.pdf","url":"https://ynu.repo.nii.ac.jp/record/6836/files/YMJ_39_N2_1992_115-124.pdf"},"version_id":"34bebaf1-ab19-40e7-9f3d-e1e520003042"}]},"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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"A NOTE ON THE ASYMPTOTIC NORMALITY OF SEQUENTIAL DENSITY ESTIMATORS","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A NOTE ON THE ASYMPTOTIC NORMALITY OF SEQUENTIAL DENSITY ESTIMATORS"}]},"item_type_id":"6","owner":"3","path":["657"],"pubdate":{"attribute_name":"公開日","attribute_value":"2009-12-15"},"publish_date":"2009-12-15","publish_status":"0","recid":"6836","relation_version_is_last":true,"title":["A NOTE ON THE ASYMPTOTIC NORMALITY OF SEQUENTIAL DENSITY ESTIMATORS"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-06-20T18:52:00.209608+00:00"}