Rayleigh projection depth

Yonggang Hu (), Qiang Li (), Yong Wang and Yi Wu

Computational Statistics, 2012, vol. 27, issue 3, 523-530

Abstract: In this paper, a novel projection-based depth based on the Rayleigh quotient, Rayleigh projection depth (RPD), is proposed. Although, the traditional projection depth (PD) has many good properties, it is indeed not practical due to its difficult computation, especially for the high-dimensional data sets. Defined on the mean and variance of the data sets, the new depth, RPD, can be computed directly by solving a problem of generalized eigenvalue. Meanwhile, we extend the RPD as generalized RPD (GRPD) to make it suitable for the sparse samples with singular covariance matrix. Theoretical results show that RPD is also an ideal statistical depth, though it is less robust than PD. Copyright Springer-Verlag 2012

Keywords: Projection depth; Rayleigh quotient; Data depth; Statistical depth; 62H05; 62H30 (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:spr:compst:v:27:y:2012:i:3:p:523-530

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DOI: 10.1007/s00180-011-0273-1

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