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AN EXACT RATE OF CONVERGENCE IN THE INVARIANCE PRINCIPLE FOR MARTINGALE DIFFERENCE ARRAYS
http://hdl.handle.net/10131/5492
http://hdl.handle.net/10131/549298f52cf0-beb8-4627-ac71-9e82da0af6d7
名前 / ファイル | ライセンス | アクション |
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YMJ_32_N1-2_1984_153-158.pdf (457.8 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2009-12-15 | |||||
タイトル | ||||||
タイトル | AN EXACT RATE OF CONVERGENCE IN THE INVARIANCE PRINCIPLE FOR MARTINGALE DIFFERENCE ARRAYS | |||||
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 | departmental bulletin paper | |||||
著者 |
Kanagawa, Shuya
× Kanagawa, Shuya |
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著者所属 | ||||||
Department of Mathematics, Faculty of Science and Technology, Keio University, 3-14-1, Hiyoshi, Kohoku.ku, Yokohama 223, Jadan | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | A convergence rate in the invariance principle for martingale difference arrays is obtained. The rate obtained depends essentially on the asymptotic behavior of the conditional variances. An example which shows the rate obtained is exact is shown. It will be also remarked, by an example, that the convergence rate in the central limit theorem is not always faster than the one in the invariance principle. | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 32, 号 1&2, p. 153-158, 発行日 1984 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00440523 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0089285X | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | Yokohama City University |