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Bayesian Inference on Multivariate Medians and Quantiles [PDF]
Statistica Sinica, 2020 In this paper, we consider Bayesian inference on a class of multivariate median and the multivariate quantile functionals of a joint distribution using a Dirichlet process prior. Since, unlike univariate quantiles, the exact posterior distribution of multivariate median and multivariate quantiles are not obtainable explicitly, we study these ...
Indrabati Bhattacharya, Subhashis Ghosal
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Differentially private multivariate medians [PDF]
, 2022 50 pages, 4 figures, 2 ...
Kelly Ramsay +2 more
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Multivariate Median Filters and Partial Differential Equations [PDF]
Journal of Mathematical Imaging and Vision, 2016 Multivariate median filters have been proposed as generalisations of the well-established median filter for grey-value images to multi-channel images. As multivariate median, most of the recent approaches use the $L^1$ median, i.e.\ the minimiser of an objective function that is the sum of distances to all input points.
Martin Welk
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Multivariate Medians for Image and Shape Analysis [PDF]
, 2019 Having been studied since long by statisticians, multivariate medianconcepts found their way into the image processing literature in thecourse of the last decades, being used to construct robust and efficientdenoising filters for multivariate images such as colour images but alsomatrix-valued images.Based on the similarities between image and geometric
Martin Welk
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Confidence Sets for Multivariate Medians [PDF]
The Annals of Mathematical Statistics, 1961 This paper considers the problem of finding confidence sets of the parallelepiped type based on extreme order statistics for multivariate medians when no parametric assumptions are made. A partial characterization of a multivariate distribution which will minimize the probability of the specified parallelepiped covering the multivariate median is given.
Paul G. Hoel, Ernest M. Scheuer
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Nonparametric multivariate $L_{1}$-median regression estimation with functional covariates [PDF]
Electronic Journal of Statistics, 2013 34 pages, 4 ...
Mohamed Chaouch, Naâmane Laïb
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The multivariate L 1 -median and associated data depth [PDF]
Proceedings of the National Academy of Sciences, 2000 This paper gives three related results: ( i ) a new, simple, fast, monotonically converging algorithm for deriving the L 1 -median of a data cloud in ℝ d , a problem that can be traced to Fermat and has fascinated applied ...
Yehuda Vardi, Cun-Hui Zhang
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A Comparison of Algorithms for the Multivariate L1-Median [PDF]
SSRN Electronic Journal, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heinrich Fritz +2 more
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Multivariate medians and measure-symmetrization [PDF]
, 2007 We discuss two research areas dealing respectively with (1) a class of multivariate medians and (2) a symmetrization algorithm for probability measures.
Richard A. Vitale
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Estimators Related to $U$-Processes with Applications to Multivariate Medians: Asymptotic Normality [PDF]
The Annals of Statistics, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miguel A. Arcones +2 more
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