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題 名 | Variable Bandwidth and Transformation in Density Estimation with Bounded Domain=可變帶寬與轉換在密度估計伴隨有界定義域 |
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作 者 | 洪萬吉; | 書刊名 | 嶺東學報 |
卷 期 | 11 2000.03[民89.03] |
頁 次 | 頁258-288 |
分類號 | 319.5 |
關鍵詞 | 轉換的核估計量; 可變帶寬; 累積分配; 理想估計量; 平滑參數; 最小平方法; 有界定義域; 緊緻; Transformation kernel estimator; Variable bandwidth; Cumulative distribution; Ideal estimator; Smoothing parameter; Least squared method; Bounded domain; Compact support; |
語 文 | 英文(English) |
中文摘要 | 對估計密度函數,Abramson(1982)提出可變帶寬的核密度估計量。當密度函數 的定義域是緊緻時,Abramson的估計量在邊界區域的偏差是非常的差,也就是說,它會有 邊界效果。為了改善此問題,在本文研究者將使用可變帶寬的觀念最小平方法及轉換法來 建立一個新的可變帶寬轉換的核估計量對估計有界的密度函數。所提的估計量研究者將證 明它的收斂率為O□(n□)或O□(n□)。當n→∞,所提估計量的性質是也被提供。 |
英文摘要 | Abramson (1982) have proposed the variable bandwidth kernel density estimator for estimating the density function. As the domain of density function is compactly supported, then the bias of Abramson's estimator is very bad on the boundary regions, that is , it does have the boundary effects on boundary regions. In order to improve this problem as above, in this paper, researcher will follow the concept of variable bandwidth, least squared method and the method of transformation to construct a new variable bandwidth transformation kernel estimator for estimating the density function with bounded domain. Proposed estimator researcher will prove that it does have the rate of convergence O□(n□) or O□(n□). The properties of the proposed estimator are also provided as n→∞. |
本系統中英文摘要資訊取自各篇刊載內容。