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ON THE RATE OF CONVERGENCE FOR SEQUENTIAL DENSITY ESTIMATION
http://hdl.handle.net/10131/5591
http://hdl.handle.net/10131/55918c23122a-8191-4ecf-aa28-ddc59a1d26d8
名前 / ファイル | ライセンス | アクション |
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YMJ_39_N2_1992_089-105.pdf (1.3 MB)
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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 | ON THE RATE OF CONVERGENCE FOR SEQUENTIAL DENSITY ESTIMATION | |||||
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 |
Fotopoulos, S. B.
× Fotopoulos, S. B. |
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著者所属 | ||||||
Department of Management and Systems, Washington State University, Pullman, WA 99164, USA | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The density estimator $f_{¥tau_{n}}(t)=T_{¥overline{n}^{1}}¥sum_{j=1}^{¥tau_{n}}h_{j}^{-1}K((t-X_{j})/h_{j})$ is considered, where $T_{n}$ is a random index. A sharp rate of convergence for the uniform distance between the probability of $f_{¥tau_{n}}(t)$ , when Properly normed, and the standard normal distribution is obtained. It is shown that for any $¥epsilon>0$ , the cptimum order of the uniform estimate is $0(n^{-1/3+¥epsilon})$ . Similar results have been shown by other authors, but under different assumptions on $T_{n}$ . | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 39, 号 2, p. 89-105, 発行日 1992 |
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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 |