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| 研究生： |
程毓婷 Cheng, Yu Ting |
|---|---|
| 論文名稱： |
曲線相似性之檢定 A test for curve similarity |
| 指導教授： |
黃子銘
Huang, Tzee Ming |
| 學位類別： |
碩士
Master |
| 系所名稱： |
商學院 - 統計學系 Department of Statistics |
| 論文出版年： | 2011 |
| 畢業學年度： | 99 |
| 語文別： | 中文 |
| 論文頁數： | 27 |
| 中文關鍵詞： | 時間對齊函數 、共同外形 |
| 外文關鍵詞： | warping function, common shape |
| 相關次數： | 點閱：238 下載：16 |
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這篇論文提出了比較兩組資料曲線在對齊後是否有相似外形的分析方法。在 functional data analysis 中，可能會有多條曲線具有相同外形但是時間轉換卻不一樣的情形。這篇論文檢定了兩組資料曲線在對齊後是否有相似外形，論文中並提出一個檢定統計量，再藉由模擬得到檢定的 p-value 和檢定力。
This thesis proposed an analysis comparing whether the shape function for two groups of curves are similar after alignment. In functional data analysis, it is common to have curves of the same pattern but with variation in time. The common pattern can be characterized by a shape function. The problem considered in this thesis is to test whether the shape functions for two groups of curves are essentially the same. A test statistic is proposed and the p-value is obtained via simulation. Simulation results indicate that the test performs well.
1 緒論 4
2 文獻回顧 6
3 研究方法 8
4 模擬過程 12
5 結果與討論 25
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