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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 鄭明燕 | |
| dc.contributor.author | Bo-Hung Guo | en |
| dc.contributor.author | 郭柏宏 | zh_TW |
| dc.date.accessioned | 2021-06-12T18:03:38Z | - |
| dc.date.available | 2010-01-25 | |
| dc.date.copyright | 2008-01-25 | |
| dc.date.issued | 2007 | |
| dc.date.submitted | 2008-01-21 | |
| dc.identifier.citation | 1. Choi, E. and Hall, P. (1998). On bias reduction in local linear smoothing. Biometrika, 85, 333-345.
2. Fan, J. and Gijbels, I. (1992a). Variable bandwidth and local linear regression smoothers. Annals of Statistics, 20, 2008-2036. 3. Gasser,T. and Muller, H. G. (1979). Kernel estimation of regression functions. In Lecture Notes in Mathematics, 757, pp. 23-68. New York: Springer. 4. Hardle, W. (1990) Applied nonparametric regression. Cambridge, U.K.: Cambridge University Press. 5. Hall, P. and Turlach, B. A. (1997). Interpolation methods for adapting to sparse design in nonparametric regression (with Comments). Journal of the American Statistical Association, 92, 466-476. 6. Rice, J. (1984). Boundary modification for nonparametric regression. Communications in Statistics : Theory and Methods, 13, 893-900. 7. Ruppert, D. and Wand, M. P. (1994). Multivariate locally weighted least squares regression. Annals of Statistics, 22, 1346-1370. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/27398 | - |
| dc.description.abstract | 本文考慮 Choi and Hall (1998) 中，為降低區域線性估計的偏誤階層，提出由偏態區域線性估計式與原本典型的區域線性估計式線性組合而成的估計式。假設真實函數的定義域為有界。在邊界範圍時，因偏態區域線性估計式的偏移點超出邊界，使得此一線性組成的估計式無法運行。針對此一問題，文中提供一個解決的方法。在部分的邊界範圍中，選取適當不對稱的偏移參數，可使其偏誤階層較區域線性估計式的偏誤階層降低一個階層，而不影響變異數的階層。 | zh_TW |
| dc.description.abstract | In this context, we consider the estimator proposed in Choi and Hall (1998), a linear combination of the skewed local linear estimators and a classic local linear estimator. It is used for reducing the bias order of the classic local linear estimator. Assume that the support of the real function is bounded. In the boundary region, the linear combination estimator doesn't work because the shifted points of the skewed local linear estimators are not in the support of the real function. We propose a method to solve this problem. In partial regions near the boundaries, with the proper asymmetric shifted parameters, the bias of the estimator can be reduced by an order of magnitude, compared to the bias of the classic local linear estimator, and the order of magnitude of variance is not influenced. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-12T18:03:38Z (GMT). No. of bitstreams: 1 ntu-96-R94221019-1.pdf: 595221 bytes, checksum: f81ed53b33bf8f5bf8213c3c4ce7f1dc (MD5) Previous issue date: 2007 | en |
| dc.description.tableofcontents | 中文摘要 i
英文摘要 ii 謝辭 iii 1 導論 1 2 線性估計式 2 2.1 偏態區域線性估計式...........................2 2.2 邊界附近的偏態區域線性估計式.................2 3 模擬結果 10 4 結論 30 參考文獻 41 | |
| dc.language.iso | zh-TW | |
| dc.title | 邊界附近的偏態區域線性估計 | zh_TW |
| dc.title | Skewed Local Linear Smoothing near the Boundary | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 96-1 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 戴政,陳秀熙,張淑惠,邱政民 | |
| dc.subject.keyword | 邊界,區域線性估計,偏態,無母數迴歸,偏誤降低, | zh_TW |
| dc.subject.keyword | Boundary,Local linear smoothing,Skewing,Nonparametric regression,Bias reduction, | en |
| dc.relation.page | 41 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2008-01-22 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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