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Random partitioning over a sparse contingency table
http://hdl.handle.net/2297/30340
http://hdl.handle.net/2297/30340ff241c10-6c95-41b3-b924-2279555e96fa
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||||
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公開日 | 2017-10-02 | |||||||
タイトル | ||||||||
タイトル | Random partitioning over a sparse contingency table | |||||||
言語 | ||||||||
言語 | eng | |||||||
資源タイプ | ||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||
資源タイプ | journal article | |||||||
著者 |
Hoshino, Nobuaki
× Hoshino, Nobuaki |
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著者別表示 |
星野, 伸明
× 星野, 伸明
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書誌情報 |
Annals of the Institute of Statistical Mathematics 巻 64, 号 3, p. 457-474, 発行日 2012-06-01 |
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ISSN | ||||||||
収録物識別子タイプ | ISSN | |||||||
収録物識別子 | 0020-3157 | |||||||
NCID | ||||||||
収録物識別子タイプ | NCID | |||||||
収録物識別子 | AA00026236 | |||||||
DOI | ||||||||
関連タイプ | isVersionOf | |||||||
識別子タイプ | DOI | |||||||
関連識別子 | 10.1007/s10463-011-0327-8 | |||||||
出版者 | ||||||||
出版者 | Springer Verlag (Germany) / Annals of the Institute of Statistical Mathematics ; AISM = 統計数理研究所 | |||||||
抄録 | ||||||||
内容記述タイプ | Abstract | |||||||
内容記述 | The present article investigates a class of random partitioning distributions of a positive integer. This class is called the limiting conditional compound poisson (LCCP) distribution and characterized by the law of small numbers. Accordingly the LCCP distribution explains the limiting behavior of counts on a sparse contingency table by the frequencies of frequencies. The LCCP distribution is constructed via some combinations of conditioning and limiting, and this view reveals that the LCCP distribution is a subclass of several known classes that depend on a Bell polynomial. It follows that the limiting behavior of a Bell polynomial provides new asymptotics for a sparse contingency table. Also the Neyman Type A distribution and the Thomas distribution are revisited as the basis of the sparsity. © 2011 The Institute of Statistical Mathematics, Tokyo. | |||||||
著者版フラグ | ||||||||
出版タイプ | AM | |||||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||
関連URI | ||||||||
識別子タイプ | URI | |||||||
関連識別子 | http://www.springerlink.com/content/12j52335t3166r08/ |