{"_buckets": {"deposit": "bc6b3b9f-0f47-4279-85ce-2094a0159927"}, "_deposit": {"created_by": 17, "id": "2001360", "owner": "17", "owners": [17], "owners_ext": {"displayname": "\u56f3\u66f8\u60c5\u5831\u4fc2", "username": "repository"}, "pid": {"revision_id": 0, "type": "depid", "value": "2001360"}, "status": "published"}, "_oai": {"id": "oai:nagoya.repo.nii.ac.jp:02001360"}, "author_link": [], "item_1615768549627": {"attribute_name": "\u51fa\u7248\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_970fb48d4fbd8a85", "subitem_version_type": "VoR"}]}, "item_1629683748249": {"attribute_name": "\u65e5\u4ed8", "attribute_value_mlt": [{"subitem_date_issued_datetime": "2021-09-07", "subitem_date_issued_type": "Available"}]}, "item_9_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "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": "\u5185\u5bb9\u8a18\u8ff0", "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 \u003e 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\u2013atomic gas\u2013molecular 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": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Oxford University Press", "subitem_publisher_language": "en"}]}, "item_9_relation_43": {"attribute_name": "\u95a2\u9023\u60c5\u5831", "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": "\u6a29\u5229", "attribute_value_mlt": [{"subitem_rights": "[Monthly Notices of the Royal Astronomical Society, Volume 498, Issue 3, November 2020, Pages 4365\u20134378], [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": "\u53ce\u9332\u7269\u8b58\u5225\u5b50", "attribute_value_mlt": [{"subitem_source_identifier": "0035-8711", "subitem_source_identifier_type": "PISSN"}]}, "item_access_right": {"attribute_name": "\u30a2\u30af\u30bb\u30b9\u6a29", "attribute_value_mlt": [{"subitem_access_right": "open access", "subitem_access_right_uri": "http://purl.org/coar/access_right/c_abf2"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Takeuchi, Tsutomu T", "creatorNameLang": "en"}]}, {"creatorNames": [{"creatorName": "Kono, Kai T", "creatorNameLang": "en"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_access", "date": [{"dateType": "Available", "dateValue": "2021-09-07"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "staa2558.pdf", "filesize": [{"value": "2.4 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "mimetype": "application/pdf", "size": 2400000.0, "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": "\u30ad\u30fc\u30ef\u30fc\u30c9", "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": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "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": "\u30bf\u30a4\u30c8\u30eb", "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": ["336/695/696"], "permalink_uri": "http://hdl.handle.net/2237/0002001360", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2021-09-07"}, "publish_date": "2021-09-07", "publish_status": "0", "recid": "2001360", "relation": {}, "relation_version_is_last": true, "title": ["Constructing a multivariate distribution function with a vine copula: towards multivariate luminosity and mass functions"], "weko_shared_id": -1}