{"created":"2021-03-01T07:02:54.448686+00:00","id":42950,"links":{},"metadata":{"_buckets":{"deposit":"b0c8c62c-7da0-4d1e-8dd1-1ce775f7c8e5"},"_deposit":{"id":"42950","owners":[],"pid":{"revision_id":0,"type":"depid","value":"42950"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00042950","sets":["62:7433:7434","9:7435:7436"]},"item_8_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2000-06","bibliographicIssueDateType":"Issued"},"bibliographicVolumeNumber":"CF-77","bibliographic_titles":[{"bibliographic_title":"Discussion paper series. CIRJE-F"}]}]},"item_8_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_8_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"For the purpose of testing the spherical uniformity based on i.i.d. directional data (unit vectors) zi , i =1,...,n, Anderson and Stephens (1972) proposed testing procedures based on the statistics Smax = maxuS (u) and S min = minuS (u), where u is a unit vector and nS (u) is the sum of square of u'zi's. In this paper we also consider another test statistic Srange = Smax －Smin. We provide formulas for the P-values of Smax , Smin , Srange by approximating tail probabilities of the limiting null distributions by means of the tube method, an integral-geometric approach for evaluating tail probability of the maximum of a Gaussian random field. Monte Carlo simulations for examining the accuracy of the approximation and for the power comparison of the statistics are given.","subitem_description_type":"Abstract"}]},"item_8_description_6":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"本文フィルはリンク先を参照のこと","subitem_description_type":"Other"}]},"item_8_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"日本経済国際共同センター"}]},"item_8_relation_25":{"attribute_name":"関係URI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"http://www.cirje.e.u-tokyo.ac.jp/research/dp/2000/2000cf77.pdf","subitem_relation_type_select":"URI"}}]},"item_8_relation_29":{"attribute_name":"異版あり","attribute_value_mlt":[{"subitem_relation_type":"hasVersion","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://doi.org/10.1016/S0047-259X(03)00093-9","subitem_relation_type_select":"URI"}}]},"item_8_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11450569","subitem_source_identifier_type":"NCID"}]},"item_8_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"330","subitem_subject_scheme":"NDC"}]},"item_8_text_21":{"attribute_name":"出版者別名","attribute_value_mlt":[{"subitem_text_value":"Center for International Research on the Japanese Economy"}]},"item_8_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Institute of Statistical Mathematics"},{"subitem_text_value":"University of Tokyo"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"metadata only access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_14cb"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kuriki, Satoshi"}],"nameIdentifiers":[{"nameIdentifier":"98787","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Takemura, Akimichi"}],"nameIdentifiers":[{"nameIdentifier":"98788","nameIdentifierScheme":"WEKO"}]}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"directional data","subitem_subject_scheme":"Other"},{"subitem_subject":"integral geometry","subitem_subject_scheme":"Other"},{"subitem_subject":"maximum of a Gaussian field","subitem_subject_scheme":"Other"},{"subitem_subject":"tivariate symmetric normal distribution","subitem_subject_scheme":"Other"},{"subitem_subject":"test for spherical uniformity","subitem_subject_scheme":"Other"},{"subitem_subject":"Weyl's formula","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":"technical report","resourceuri":"http://purl.org/coar/resource_type/c_18gh"}]},"item_title":"Tail Probabilities of the Limiting Null Distributions of the Anderson-Stephens Statistics","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Tail Probabilities of the Limiting Null Distributions of the Anderson-Stephens Statistics"}]},"item_type_id":"8","owner":"1","path":["7436","7434"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-01-17"},"publish_date":"2017-01-17","publish_status":"0","recid":"42950","relation_version_is_last":true,"title":["Tail Probabilities of the Limiting Null Distributions of the Anderson-Stephens Statistics"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:18:02.572650+00:00"}