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Tail Probabilities of the Limiting Null Distributions of the Anderson-Stephens Statistics
http://hdl.handle.net/2261/2342
http://hdl.handle.net/2261/23429518fb6d-3588-45e9-96af-9a251e92374e
Item type | テクニカルレポート / Technical Report(1) | |||||
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公開日 | 2017-01-17 | |||||
タイトル | ||||||
タイトル | Tail Probabilities of the Limiting Null Distributions of the Anderson-Stephens Statistics | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | directional data | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | integral geometry | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | maximum of a Gaussian field | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | tivariate symmetric normal distribution | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | test for spherical uniformity | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Weyl's formula | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_18gh | |||||
タイプ | technical report | |||||
アクセス権 | ||||||
アクセス権 | metadata only access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_14cb | |||||
著者 |
Kuriki, Satoshi
× Kuriki, Satoshi× Takemura, Akimichi |
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著者所属 | ||||||
著者所属 | Institute of Statistical Mathematics | |||||
著者所属 | ||||||
著者所属 | University of Tokyo | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | 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. | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 本文フィルはリンク先を参照のこと | |||||
書誌情報 |
Discussion paper series. CIRJE-F 巻 CF-77, 発行日 2000-06 |
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書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11450569 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 330 | |||||
主題Scheme | NDC | |||||
出版者 | ||||||
出版者 | 日本経済国際共同センター | |||||
出版者別名 | ||||||
Center for International Research on the Japanese Economy | ||||||
関係URI | ||||||
識別子タイプ | URI | |||||
関連識別子 | http://www.cirje.e.u-tokyo.ac.jp/research/dp/2000/2000cf77.pdf | |||||
異版あり | ||||||
関連タイプ | hasVersion | |||||
識別子タイプ | URI | |||||
関連識別子 | http://doi.org/10.1016/S0047-259X(03)00093-9 |