{"created":"2023-06-20T15:46:14.770505+00:00","id":743,"links":{},"metadata":{"_buckets":{"deposit":"6719e1bb-34aa-4f80-aef4-fdceef09ed48"},"_deposit":{"created_by":2,"id":"743","owners":[2],"pid":{"revision_id":0,"type":"depid","value":"743"},"status":"published"},"_oai":{"id":"oai:hama-med.repo.nii.ac.jp:00000743","sets":["6:14:45"]},"author_link":["2655"],"item_2_alternative_title_1":{"attribute_name":"その他のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"On the Set of Numbers Derived from Some Recurrence   Formula (1) Mean and Median"}]},"item_2_biblio_info_5":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2009-02-27","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"12","bibliographicPageStart":"3","bibliographicVolumeNumber":"23","bibliographic_titles":[{"bibliographic_title":"浜松医科大学紀要. 一般教育"}]}]},"item_2_description_30":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_2_description_9":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let a sequence fn(t) of polynomials be defined by the following recurrence formula: The author is interested in the set Sk consisting of natural numbers n such that the degree of fn(t) is equal to k (k =1,2,3,?????), and investigates its structure from a statistical point of view. Indeed, the various statistics of Sk such as the minimal and maximal values, the mean and the variance, admit closed-form expressions (see §2). For the median Mk of Sk , however, it is not easy to obtain its exact formula of k , although the values of Mk for all k ≦19 are computed and listed in §1. In the present paper, we are content to apply Paulson’s approximation formula ([1]) concerning the Beta distribution to the study of an asymptotic estimate of Mk (see §3), which implies that as and hence that Mk turns out to be smaller than the mean value .","subitem_description_type":"Abstract"}]},"item_2_publisher_6":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"浜松医科大学"}]},"item_2_source_id_19":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"09140174","subitem_source_identifier_type":"ISSN"}]},"item_2_source_id_23":{"attribute_name":"NII書誌ID","attribute_value_mlt":[{"subitem_source_identifier":"AN10032827","subitem_source_identifier_type":"NCID"}]},"item_2_version_type_32":{"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":"野田, 明男"}],"nameIdentifiers":[{"nameIdentifier":"2655","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":"2018-08-27"}],"displaytype":"detail","filename":"kiyo23_01.pdf","filesize":[{"value":"684.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"kiyo23_01.pdf","url":"https://hama-med.repo.nii.ac.jp/record/743/files/kiyo23_01.pdf"},"version_id":"ff41f06b-a371-4651-8e62-5493790e4567"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Recurrence formula","subitem_subject_scheme":"Other"},{"subitem_subject":"Mean","subitem_subject_scheme":"Other"},{"subitem_subject":"Median","subitem_subject_scheme":"Other"},{"subitem_subject":"Beta distribution","subitem_subject_scheme":"Other"},{"subitem_subject":"Paulson’s approximation formula","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":"ある漸化式から生じる数の集合について  （1）平均値とメディアン","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"ある漸化式から生じる数の集合について  （1）平均値とメディアン"}]},"item_type_id":"2","owner":"2","path":["45"],"pubdate":{"attribute_name":"公開日","attribute_value":"2013-08-27"},"publish_date":"2013-08-27","publish_status":"0","recid":"743","relation_version_is_last":true,"title":["ある漸化式から生じる数の集合について  （1）平均値とメディアン"],"weko_creator_id":"2","weko_shared_id":-1},"updated":"2023-06-20T17:59:24.967512+00:00"}