{"created":"2023-05-15T14:25:25.318438+00:00","id":1179,"links":{},"metadata":{"_buckets":{"deposit":"c2ced667-13ee-42a9-8681-e602c020a6e8"},"_deposit":{"created_by":4,"id":"1179","owners":[4],"pid":{"revision_id":0,"type":"depid","value":"1179"},"status":"published"},"_oai":{"id":"oai:iuk-repo.repo.nii.ac.jp:00001179","sets":["15:16","21:37:144"]},"author_link":["142"],"item_2_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-03-05","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3-4","bibliographicPageEnd":"235","bibliographicPageStart":"231","bibliographicVolumeNumber":"59","bibliographic_titles":[{"bibliographic_title":"鹿児島経済論集"},{"bibliographic_title":"The Kagoshima journal of economics","bibliographic_titleLang":"en"}]}]},"item_2_creator_2":{"attribute_name":"著者(ヨミ)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"ナカジマ, マスミ"}],"nameIdentifiers":[{"nameIdentifier":"142","nameIdentifierScheme":"WEKO"}]}]},"item_2_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We prove here the following equation: ∑_(l+m=k,l,m≥0) ((α+l-1)¦l) ((β+m-1)¦m)=((α+β+k-1)¦k) and give its application to prove the reproductive property of the negative binomial distribution.\nThese finite sum equation involving binomial coefficients and proof of the reproductive property are not known as far as the author knows.","subitem_description_type":"Abstract"}]},"item_2_description_43":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"論文(Article)","subitem_description_type":"Other"}]},"item_2_publisher_33":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"鹿児島国際大学経済学部学会"}]},"item_2_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13460226","subitem_source_identifier_type":"ISSN"}]},"item_2_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11479673","subitem_source_identifier_type":"NCID"}]},"item_2_text_34":{"attribute_name":"出版者（ヨミ）","attribute_value_mlt":[{"subitem_text_value":"カゴシマ コクサイ ダイガク ケイザイ ガクブ ガッカイ"}]},"item_2_text_35":{"attribute_name":"別言語の出版者","attribute_value_mlt":[{"subitem_text_value":"The Faculty of Economics, The International University of Kagoshima"}]},"item_2_text_44":{"attribute_name":"資源タイプ・ローカル","attribute_value_mlt":[{"subitem_text_value":"紀要論文"}]},"item_2_text_45":{"attribute_name":"資源タイプ・NII","attribute_value_mlt":[{"subitem_text_value":"Departmental Bulletin Paper"}]},"item_2_text_46":{"attribute_name":"資源タイプ・DCMI","attribute_value_mlt":[{"subitem_text_value":"text"}]},"item_2_text_47":{"attribute_name":"資源タイプ・ローカル表示コード","attribute_value_mlt":[{"subitem_text_value":"02"}]},"item_2_version_type_16":{"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":"中嶋, 眞澄"},{"creatorName":"Nakajima, Masumi","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-07-27"}],"displaytype":"detail","filename":"13460226_v59_3-4_Nakajima-2--非公開→公開20200727_ ﾀｲﾄﾙの数式.pdf","filesize":[{"value":"475.4 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"13460226_v59_3-4_Nakajima-2","url":"https://iuk-repo.repo.nii.ac.jp/record/1179/files/13460226_v59_3-4_Nakajima-2--非公開→公開20200727_ ﾀｲﾄﾙの数式.pdf"},"version_id":"6c258eed-1089-4d3f-b179-8a04263c7191"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"binomial coefficient","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"negative binomial distribution","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"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":"∑_(l+m=k,l,m≥0) ((α+l-1)¦l) ((β+m-1)¦m)=((α+β+k-1)¦k) と負の二項分布への応用","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"∑_(l+m=k,l,m≥0) ((α+l-1)¦l) ((β+m-1)¦m)=((α+β+k-1)¦k) と負の二項分布への応用"},{"subitem_title":"∑_(l+m=k,l,m≥0) ((α+l-1)¦l) ((β+m-1)¦m)=((α+β+k-1)¦k) and its application to negative binomial distribution","subitem_title_language":"en"}]},"item_type_id":"2","owner":"4","path":["16","144"],"pubdate":{"attribute_name":"公開日","attribute_value":"2020-07-27"},"publish_date":"2020-07-27","publish_status":"0","recid":"1179","relation_version_is_last":true,"title":["∑_(l+m=k,l,m≥0) ((α+l-1)¦l) ((β+m-1)¦m)=((α+β+k-1)¦k) と負の二項分布への応用"],"weko_creator_id":"4","weko_shared_id":-1},"updated":"2023-05-15T22:04:36.692420+00:00"}