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A NOTE ON THE ASYMPTOTIC NORMALITY OF SEQUENTIAL DENSITY ESTIMATORS
http://hdl.handle.net/10131/5596
http://hdl.handle.net/10131/5596bf761d44-3dd0-4f9b-a103-9ae2d6592a99
名前 / ファイル | ライセンス | アクション |
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YMJ_39_N2_1992_115-124.pdf (796.5 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 | A NOTE ON THE ASYMPTOTIC NORMALITY OF SEQUENTIAL DENSITY ESTIMATORS | |||||
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 |
Isogai, Eiichi
× Isogai, Eiichi |
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著者所属 | ||||||
Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-21, Japan | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let $f_{n}(x)$ be the recursive kernel estimators of an unknown density function $f(x)$ at a given point $x$ . Also, let $N(t)(t>0)$ be a family of positive integer-valued random variables. We consider the sequential estimators $f_{N(t)}(x)$ . In this paper, under certain regularity conditions on $N(t)$ we shall show that $(N(t)h_{N(t)}^{p})^{1/2}(f_{N(i)}(x)-f(x))$ is asymptotically normally distributed as $t$ tends to infinity. Our conditions on $N(t)$ generalize those given by Carroll [2], Stute [9] and Isogai [6]. | |||||
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. 115-124, 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 |