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Journal of the American Statistical Association Volume 108, 2013 - Issue 503
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Theory and Methods

From Depth to Local Depth: A Focus on Centrality

Davy Paindaveine ECARES and Département de Mathématique, Université libre de Bruxelles, B-1050, Bruxelles, Belgium; ECORE, the association between CORE and ECARES
&
Germain Van bever ECARES and Département de Mathématique, Université libre de Bruxelles, B-1050, Bruxelles, Belgium
Pages 1105-1119 | Received 01 Dec 2012, Published online: 27 Sep 2013

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Giuseppe Pandolfo. (2022) The GLD-plot: a depth-based graphical tool to investigate unimodality of directional data. Journal of Statistical Computation and Simulation 92:11, pages 2372-2385.
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Jan Kalina. (2021) Common multivariate estimators of location and scatter capture the symmetry of the underlying distribution. Communications in Statistics - Simulation and Computation 50:10, pages 2845-2857.
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Mengta Yang, Reza Modarres & Lingzhe Guo. (2020) Depth functions and mutidimensional medians on minimal spanning trees. Journal of Applied Statistics 47:2, pages 323-336.
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Pavlo Mozharovskyi, Julie Josse & François Husson. (2020) Nonparametric Imputation by Data Depth. Journal of the American Statistical Association 115:529, pages 241-253.
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Mengta Yang & Reza Modarres. (2018) β-Skeleton depth functions and medians. Communications in Statistics - Theory and Methods 47:20, pages 5127-5143.
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Stanislav Nagy, Irène Gijbels & Daniel Hlubinka. (2017) Depth-Based Recognition of Shape Outlying Functions. Journal of Computational and Graphical Statistics 26:4, pages 883-893.
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Articles from other publishers (23)

Kevin Leckey, Dennis Malcherczyk, Melanie Horn & Christine H. Müller. (2022) Simple powerful robust tests based on sign depth. Statistical Papers 64:3, pages 857-882.
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Maciej Jagódka & Małgorzata Snarska. (2022) Should We Continue EU Cohesion Policy? The Dilemma of Uneven Development of Polish Regions. Social Indicators Research 165:3, pages 901-917.
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Daniel Hlubinka, Lukáš Kotík & Miroslav Šiman. (2022) Multivariate quantiles with both overall and directional probability interpretation. Scandinavian Journal of Statistics 49:4, pages 1586-1604.
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Karl Mosler & Pavlo Mozharovskyi. (2022) Choosing Among Notions of Multivariate Depth Statistics. Statistical Science 37:3.
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Lucas Fernandez-Piana & Marcela Svarc. (2022) An integrated local depth measure. AStA Advances in Statistical Analysis 106:2, pages 175-197.
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Kenneth S. Berenhaut, Katherine E. Moore & Ryan L. Melvin. (2022) A social perspective on perceived distances reveals deep community structure. Proceedings of the National Academy of Sciences 119:4.
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Elisa Cabana, Rosa E. Lillo & Henry Laniado. (2019) Multivariate outlier detection based on a robust Mahalanobis distance with shrinkage estimators. Statistical Papers 62:4, pages 1583-1609.
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Gabriel Chandler & Wolfgang Polonik. (2021) Multiscale geometric feature extraction for high-dimensional and non-Euclidean data with applications. The Annals of Statistics 49:2.
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Yijun Zuo. (2021) On General Notions of Depth for Regression. Statistical Science 36:1.
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Carlo Sguera & Rosa E. Lillo. 2020. Nonparametric Statistics. Nonparametric Statistics 457 469 .
Daniel Kosiorowski, Jerzy P. Rydlewski & Małgorzata Snarska. (2017) Detecting a structural change in functional time series using local Wilcoxon statistic. Statistical Papers 60:5, pages 1677-1698.
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Oleksii Pokotylo & Karl Mosler. (2016) Classification with the pot–pot plot. Statistical Papers 60:3, pages 903-931.
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Giuseppe Pandolfo, Davy Paindaveine & Giovanni C. Porzio. (2018) Distance-based depths for directional data. Canadian Journal of Statistics 46:4, pages 593-609.
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Daniel KosiorowskiDominik MielczarekJerzy P. RydlewskiMałgorzata Snarska. (2018) GENERALIZED EXPONENTIAL SMOOTHING IN PREDICTION OF HIERARCHICAL TIME SERIES. Statistics in Transition New Series 19:2, pages 331-350.
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Irène Gijbels & Stanislav Nagy. (2017) On a General Definition of Depth for Functional Data. Statistical Science 32:4.
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Pavel Boček & Miroslav Šiman. (2017) On weighted and locally polynomial directional quantile regression. Computational Statistics 32:3, pages 929-946.
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Lukáš Kotík & Daniel Hlubinka. (2017) A weighted localization of halfspace depth and its properties. Journal of Multivariate Analysis 157, pages 53-69.
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Subhajit Dutta & Anil K. Ghosh. (2017) Discussion. International Statistical Review 85:1, pages 40-43.
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D. Kosiorowski. (2016) Dilemmas of Robust Analysis of Economic Data Streams*. Journal of Mathematical Sciences 218:2, pages 167-181.
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Christoph P. Kustosz, Christine H. Müller & Martin Wendler. (2016) Simplified simplicial depth for regression and autoregressive growth processes. Journal of Statistical Planning and Inference 173, pages 125-146.
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Alicia Nieto-Reyes & Heather Battey. (2016) A Topologically Valid Definition of Depth for Functional Data. Statistical Science 31:1.
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Rainer Dyckerhoff, Christophe Ley & Davy Paindaveine. (2014) Depth-based runs tests for bivariate central symmetry. Annals of the Institute of Statistical Mathematics 67:5, pages 917-941.
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Davy Paindaveine & Germain Van Bever. (2015) Discussion of “Multivariate Functional Outlier Detection”, by Mia Hubert, Peter Rousseeuw and Pieter Segaert. Statistical Methods & Applications 24:2, pages 223-231.
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