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相關文獻
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題名 | 可變帶寬與密度函數之核估計=Variable Bandwidth and Kernel Estimates of Density Functions |
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作 者 | 洪萬吉; | 書刊名 | 德明學報 |
卷期 | 20 2002.12[民91.12] |
頁次 | 頁241-249 |
分類號 | 319.1 |
關鍵詞 | 核密度估計量; 邊界效果; 平滑參數; 偏差減小; 可變帶寬; Kernel density estimator; Boundary effects; Smoothing parameter; Bias reduction; Variable bandwidth; |
語文 | 中文(Chinese) |
中文摘要 | 無母數估計中的密函數估計已被廣泛的研究。但當密度函數的定義域(domain)為 緊緻 (compact support) 時, Abramson (1982) 所提之核密度估計量在其邊界區域將發生 一般所謂的邊界效果 (boundary effects),為了改善邊界效果, 本文利用線性擬合法的觀 點,來建立一個新的可變帶寬的核估計量,並將給予所提可變帶寬的核估計量之簡潔的近似 結果及一些性質,當 n →∞此外,所提之估計量將不會產生邊界效 2 困且又有減小偏差之 功能。 |
英文摘要 | The estimation of density functions are vastly investigated by the method of non-parametric. As the domain of density is compact support, we known that the kernel density estimator of Abramson (1982) will produce the boundary effects on the boundary regions. In order to improve this problem as above, one will follow the idea of linear fit method to construct a new variable bandwidth kernel estimator. The proposed estimator, the compact form of the asymptotic results and some properties are given as n →∞. Besides, the proposed estimator does not have the boundary effects and its bias can be reduced. |
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