论文标题

模板与等级匹配

Template Matching with Ranks

论文作者

Arias-Castro, Ery, Zheng, Lin

论文摘要

我们考虑将模板与嘈杂信号匹配的问题。由信号处理文献中一些最新建议的动机,我们建议一种基于等级的方法,并使用经验过程理论中一些公认的技术与Hájek的投影方法一起研究其渐近性。所得偏移的估计量显示出达到收敛的参数速率,并且在渐近上正常。一些数值模拟证实了这些发现。

We consider the problem of matching a template to a noisy signal. Motivated by some recent proposals in the signal processing literature, we suggest a rank-based method and study its asymptotic properties using some well-established techniques in empirical process theory combined with Hájek's projection method. The resulting estimator of the shift is shown to achieve a parametric rate of convergence and to be asymptotically normal. Some numerical simulations corroborate these findings.

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