A test for curve similarity
碩士 === 國立政治大學 === 統計研究所 === 99 === 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 characteri...
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Format: | Others |
Language: | zh-TW |
Published: |
2011
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Online Access: | http://ndltd.ncl.edu.tw/handle/01709833982948597847 |
Summary: | 碩士 === 國立政治大學 === 統計研究所 === 99 === 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.
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