{"created":"2021-09-07T05:46:36.438575+00:00","id":2001360,"links":{},"metadata":{"_buckets":{"deposit":"bc6b3b9f-0f47-4279-85ce-2094a0159927"},"_deposit":{"created_by":17,"id":"2001360","owner":"17","owners":[17],"owners_ext":{"displayname":"図書情報係","username":"repository"},"pid":{"revision_id":0,"type":"depid","value":"2001360"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:02001360","sets":["336:695:696"]},"author_link":[],"item_1615768549627":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_1629683748249":{"attribute_name":"日付","attribute_value_mlt":[{"subitem_date_issued_datetime":"2021-09-07","subitem_date_issued_type":"Available"}]},"item_9_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020-11","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"4378","bibliographicPageStart":"4365","bibliographicVolumeNumber":"498","bibliographic_titles":[{"bibliographic_title":"Monthly Notices of the Royal Astronomical Society","bibliographic_titleLang":"en"}]}]},"item_9_description_4":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"The need for a method to construct multidimensional distribution function is increasing recently, in the era of huge multiwavelength surveys. We have proposed a systematic method to build a bivariate luminosity or mass function of galaxies by using a copula. It allows us to construct a distribution function when only its marginal distributions are known, and we have to estimate the dependence structure from data. A typical example is the situation that we have univariate luminosity functions at some wavelengths for a survey, but the joint distribution is unknown. Main limitation of the copula method is that it is not easy to extend a joint function to higher dimensions (d > 2), except some special cases like multidimensional Gaussian. Even if we find such a multivariate analytic function in some fortunate case, it would often be inflexible and impractical. In this work, we show a systematic method to extend the copula method to unlimitedly higher dimensions by a vine copula. This is based on the pair-copula decomposition of a general multivariate distribution. We show how the vine copula construction is flexible and extendable. We also present an example of the construction of a stellar mass–atomic gas–molecular gas three-dimensional mass function. We demonstrate the maximum likelihood estimation of the best functional form for this function, as well as a proper model selection via vine copula.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_9_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Oxford University Press","subitem_publisher_language":"en"}]},"item_9_relation_43":{"attribute_name":"関連情報","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1093/mnras/staa2558","subitem_relation_type_select":"DOI"}}]},"item_9_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"[Monthly Notices of the Royal Astronomical Society, Volume 498, Issue 3, November 2020, Pages 4365–4378], [Constructing a multivariate distribution function with a vine copula: towards multivariate luminosity and mass functions] by [Tsutomu T Takeuchi, Kai T Kono], [2020], reproduced by permission of Oxford University Press [https://doi.org/10.1093/mnras/staa2558]","subitem_rights_language":"en"}]},"item_9_source_id_7":{"attribute_name":"収録物識別子","attribute_value_mlt":[{"subitem_source_identifier":"0035-8711","subitem_source_identifier_type":"PISSN"}]},"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":"Takeuchi, Tsutomu T","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"Kono, Kai T","creatorNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2021-09-07"}],"displaytype":"detail","filename":"staa2558.pdf","filesize":[{"value":"2.4 MB"}],"format":"application/pdf","url":{"objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/2001360/files/staa2558.pdf"},"version_id":"1e1aba58-f79e-40ec-b9b2-f0e5d5df40f9"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"ISM: atoms","subitem_subject_scheme":"Other"},{"subitem_subject":"ISM: molecules","subitem_subject_scheme":"Other"},{"subitem_subject":"galaxies: evolution","subitem_subject_scheme":"Other"},{"subitem_subject":"galaxies: formation","subitem_subject_scheme":"Other"},{"subitem_subject":"galaxies: luminosity function","subitem_subject_scheme":"Other"},{"subitem_subject":"mass function","subitem_subject_scheme":"Other"},{"subitem_subject":"galaxies: star formation","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":"Constructing a multivariate distribution function with a vine copula: towards multivariate luminosity and mass functions","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Constructing a multivariate distribution function with a vine copula: towards multivariate luminosity and mass functions","subitem_title_language":"en"}]},"item_type_id":"40001","owner":"17","path":["696"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2021-09-07"},"publish_date":"2021-09-07","publish_status":"0","recid":"2001360","relation_version_is_last":true,"title":["Constructing a multivariate distribution function with a vine copula: towards multivariate luminosity and mass functions"],"weko_creator_id":"17","weko_shared_id":-1},"updated":"2023-01-16T05:12:00.786732+00:00"}