On Two Types of Breakdown Points of Weighted L 2-median |
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Authors: | Caiya Zhang Yan Luo |
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Institution: | 1. School of Computer and Computing Science , Zhejiang University City College , Hangzhou, China;2. Department of Mathematics , Zhejiang University , Hangzhou, China |
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Abstract: | Zuo (2004) investigated the simplified replacement finite sample breakdown point of weighted L p -depth and L p -median for some appropriate weight functions. The addition breakdown point of weighted L p -depth functions is studied firstly in this article. In addition, for some other weight functions different from those in Zuo (2004
Zuo , Y. ( 2004 ). Robustness of weighted L p -depth and L p -median . Allgemeines Statistics Archiv. 88 : 215 – 234 . Google Scholar]), we establish the lower bounds of these two types of breakdown point of weighted L 2-median. |
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Keywords: | Data depth Robustness Sample breakdown point Weighted L 2-median |
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