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乱数変換に対する二次漸近解析
http://hdl.handle.net/2237/23480
http://hdl.handle.net/2237/23480b2097f58-0821-4e6d-8beb-e70266026498
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 | 2016-02-18 | |||||
タイトル | ||||||
タイトル | 乱数変換に対する二次漸近解析 | |||||
言語 | ja | |||||
著者 |
熊谷, 亘
× 熊谷, 亘× 林, 正人× KUMAGAI, Wataru× HAYASHI, Masahito |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
権利 | ||||||
言語 | ja | |||||
権利情報 | (c)一般社団法人電子情報通信学会 本文データは学協会の許諾に基づきCiNiiから複製したものである | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 乱数変換 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 二次漸近論 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 漸近展開 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Random number conversion | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | second-order asymptotic theory | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | asymptotic expansion | |||||
抄録 | ||||||
内容記述 | 本発表では確率分布Pから生成されるの独立同一乱数を、Qから生成される独立同一乱数へ変換する際の最適生成レートに関して論じる。確率分布QまたはPが一様分布である場合は、この問題はそれぞれintrinsic randomnessおよびresolvabilityと呼ばれており、一次だけでなく二次の漸近解析もなされてきた。一方、PおよびQの双方が非一様分布である場合、その二次漸近論は扱われてこなかった。本発表ではPおよびQが有限集合上の一様とは限らない確率分布とし、それらの間の最適変換レートを行う。 | |||||
言語 | ja | |||||
内容記述タイプ | Abstract | |||||
抄録 | ||||||
内容記述 | We treat a random number generation from an i.i.d. probability distribution of P to that of Q. When Q or P is a uniform distribution, the problems have been well-known as the uniform random number generation and the resolvability problem respectively, and analyzed not only in the context of the first order asymptotic theory but also that in the second asymptotic theory. On the other hand, when both P and Q are not a uniform distribution, the second order asymptotics has not been treated. In this paper, we focus on the second order asymptotics of a random number generation for arbitrary probability distributions P and Q on a finite set. In particular, we derive the optimal second order generation rate under an arbitrary permissible confidence coefficient. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
言語 | ja | |||||
出版者 | 一般社団法人電子情報通信学会 | |||||
言語 | ||||||
言語 | jpn | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
関連情報 | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | URI | |||||
関連識別子 | http://ci.nii.ac.jp/naid/110009825127/ | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0913-5685 | |||||
書誌情報 |
電子情報通信学会技術研究報告. IT, 情報理論 巻 113, 号 411, p. 41-43, 発行日 2014-01 |
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著者版フラグ | ||||||
値 | publisher | |||||
URI | ||||||
識別子 | http://ci.nii.ac.jp/naid/110009825127/ | |||||
識別子タイプ | URI | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/23480 | |||||
識別子タイプ | HDL |