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Depth notions in location have fascinated tremendous attention in the literature.
1905
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Caplin, A. and Nalebuff, B. (1988), “On 64%-majority rule”,
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Liu, R. Y. (1990), “On a notion of data depth based on random simplices”,
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Dohono, D. L. and Gasko, M. (1992), “Breakdown properties of location estimates based on halfspace depth and projected outlyingness”,
1992
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Liu, R. Y. (1992), “Data depth and multivariate rank tests”,
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Liu, R. Y. , and Singh, K. (1993), “A quality index based on data depth and multivariate rank tests”,
1993
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Maronna, R. A., and Yohai, V. J. (1993), “Bias-Robust Estimates of Regression Based on Projections”,
1993
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Liu, R. Y. (1995), “Control charts for multivariate processes”,
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Carrizosa, E. (1996), “A characterization of halfspace depth”,
1996
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Yeh, A. B. , and Singh, K. (1997), “Balanced confidence regions based on Tukey’s depth and the bootstrap”,
1997
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Zuo, Y. (1998), “Contributions to the Theory and Applications of Statistical Depth Functions,” Ph.D. thesis, The University of Texas at Dallas, Ann Arbor, MI: ProQuest LLC
1998
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Bai,Z. D. and He, X. (1999), “Asymptotic distributions of the maximal depth regression and multivariate location”,
1999
Cited alongside, same era.
Hubert, M., Rousseeuw, P. J. and Van Aelst, S. (1999), “Similarities between location depth and regression depth”. In
1999
Cited alongside, same era.
Liu, R. Y. Parelius, J. M. , and Singh, K. (1999), “Multivariate analysis by data depth: Descriptive statistics, graphics and inference”,
1999
Cited alongside, same era.
Rousseeuw, P. J., and Hubert, M. (1999), “Regression depth” (with discussion),
1999
Cited alongside, same era.
Hoberg, R. (2000), “Cluster analysis based on data depth”,
2000
Cited alongside, same era.
Van Aelst, S., and Rousseeuw, P. J. (2000), “Robustness of Deepest Regression”,
Zuo, Y. (2009), “Data depth trimming procedure outperforms the classical
2009
Later among the works it cites.
Dang, X., and Serfling, R. (2010), “Nonparametric depth-based multivariate outlier identifiers, and masking robustness properties”,
2010
Later among the works it cites.
Hallin, M., Paindaveine, D. and S̈iman. M. (2010), “Multivariate quantiles and multipleoutput regression quantiles: From L1 optimization to halfspace depth” (with discussion),
2010
Later among the works it cites.
Zuo, Y. (2010), “Is
2010
Later among the works it cites.
Agostinelli, C., and Romanazzi, M. (2011), “Local depth”,
2011
Later among the works it cites.
Chebana, F. , Ouarda, T. B. M. J. (2011), “Depth-based multivariate descriptive statistics with hydrological applications”,
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2000
Cited alongside, same era.
Vardi, Y. and Zhang, C.-H. (2000), “The multivariate L1-median and associated data depth”,
2000
Cited alongside, same era.
Zuo, Y., Serfling, R., (2000), “General notions of statistical depth function”
2000
Cited alongside, same era.
Adrover, J., Maronna, R. and Yohai, V. (2002), “Relationships between maximum depth and projection regression estimates”,
2002
Cited alongside, same era.
Mizera, I. (2002), “On depth and deep points: a calculus”,
2002
Cited alongside, same era.
Mosler, K. (2002),
2002
Cited alongside, same era.
Eisenhauer, J. G. (2003), “Regression through the Origin”,
2003
Cited alongside, same era.
2011
Later among the works it cites.
Velasco-Forero, S, and Angulo, J. (2011), “Mathematical Morphology for Vector Images Using Statistical Depth”,
2011
Later among the works it cites.
Li, J., Cuesta-Albertos, J. A. , and Liu, R. Y. (2012), “DD-Classifier: Nonparametric Classification Procedure Based on DD-Plot”,
2012
Later among the works it cites.
Portnoy, S. (2012), “Nearly root-n approximation for regression quantile processes”,
2012
Later among the works it cites.
Velasco-Forero, S, and Angulo, J. (2012), “Random projection depth for multivariate mathematical morphology”,
2012
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Paindaveine, D. and Van Bever, G. (2013), “From Depth to Local Depth: A Focus on Centrality”,
2013
Later among the works it cites.
Chakraborty, A. and Chaudhuri, P. (2014), “The spatial distribution in infinite dimensional spaces and related quantiles and depths”,
2014
Later among the works it cites.
Claeskens, G., Hubert, M., Slaets, L. and Vakili, K. (2014), “Multivariate functional halfspace depth”
2014
Later among the works it cites.
Lange, T., Mosler, K. Mozharovskyi, P. (2014), “Fast nonparametric classification based on data depth”,
2014
Later among the works it cites.
Liu, X. and Zuo, Y. (2014), “Computing halfspace depth and regression depth”,
2014
Later among the works it cites.
Mosler, K. and Bazovkin, P. (2014), “Stochastic linear programming with a distortion risk constraint”,
2014
Later among the works it cites.
Serfling, R., and Wang, S. (2014), “General foundations for studying masking and swamping robustness of outlier identifiers”,
2014
Later among the works it cites.
Hubert, M. , Rousseeuw, P. J. , and Segaert, P. (2015), “Multivariate functional outlier detection,”
2015
Later among the works it cites.
Paindaveine, D. and Van Bever, G. (2015), “Nonparametrically consistent depth-based classifiers”,
2015
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Wang, S. and Serfling, R. (2015), “On masking and swamping robustness of leading nonparametric outlier identifiers for univariate data”,
2015
Later among the works it cites.
Nieto-Reyes, A. and Battey, H. (2016), “A topologically valid definition of depth for functional data”,
2016
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Chernozhukov, V. , Galichon, A. , Hallin, M., and Henry, M. (2017), “Monge–Kantorovich depth, quantiles, ranks and signs”,
2017
Later among the works it cites.
Gijbels, I. and Nagy, S. (2017), “On a general definition of depth for functional data”,
2017
Later among the works it cites.
Koshevoy, G. , and Mosler, K. (1997), “Zonoid trimming for multivariate distributions”,
2017
Later among the works it cites.
2017
Later among the works it cites.
Paindaveine, D. and Van Bever, G. (2018), “Halfspace depths for scatter, concentration and shape matrices”,
2018
Closest in time.
Wang, S. and Serfling, R. (2018), “On masking and swamping robustness of leading nonparametric outlier identifiers for multivariate data”,
2018
Closest in time.
Zuo, Y. (2018), “Robustness of deepest projection regression depth functional”,
2018
Closest in time.
Serfling, R. (2019), “Perspectives on Depth Functions on General Data Spaces, with Consideration of the Tukey, Projection, Spatial, ‘Density’, ‘Local’, and ‘Contour’ Depths”, preprint
2019
Closest in time.