Results 11 to 20 of about 444,271 (240)
Note on Qualitative Robustness of Multivariate Sample Mean and Median [PDF]
Journal of Probability and Statistics, 2013 It is known that the robustness properties of estimators depend on the choice of a metric in the space of distributions. We introduce a version of Hampel's qualitative robustness that takes into account then-asymptotic normality of estimators inRk, and examine such robustness of two standard location estimators inℝk.
Evgueni Gordienko +2 more
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Spatial medians, depth functions and multivariate Jensen's inequality [PDF]
, 2007 For any given partial order in a $d$-dimensional euclidean space, under mild regularity assumptions, we show that the intersection of closed (generalized) intervals containing more than 1/2 of the probability mass, is a non-empty compact interval. This property is shared with common intervals on real line, where the intersection is the median set of ...
Djordje Baljozović, Milan Merkle
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On an order-based multivariate median
Fuzzy Sets and Systems, 2020 This research has been partially supported by the Spanish MINECO (TIN2017-87600-P) and the Research Foundation of Flanders (FWO17/PDO/160).
Raúl Pérez‐Fernández
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Nonparametric Clustering Stopping Rule Based on Multivariate Median [PDF]
This paper introduces a novel nonparametric criterion for determining the appropriate number of clusters, which is derived from the spatial median. The method is constructed to reconcile two competing objectives of cluster analysis: the preservation of internal homogeneity within clusters and the maximization of heterogeneity across clusters.
Hend Gabr +2 more
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High-dimensional multivariate analysis of variance via geometric median and bootstrapping [PDF]
BiometricsABSTRACT The geometric median, which is applicable to high-dimensional data, can be viewed as a generalization of the univariate median used in 1-dimensional data. It can be used as a robust estimator for identifying the location of multi-dimensional data and has a wide range of applications in real-world scenarios.
Guanghui Cheng, Ruitao Lin, Liuhua Peng
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Asymptotic Properties of the Generalized Median in the Case of Multivariate Normality
Journal of the Royal Statistical Society Series B: Statistical Methodology, 1985 SUMMARY The generalized affine invariant median proposed by Oja (1983) is, in the case of multivariate normality, shown to be asymptotically at least as efficient as the spatial median.
Hannu Oja, Ahti Niinimaa
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Multivariate analysis of longitudinal surveys for population median
Communications for Statistical Applications and Methods, 2017 Kumari Priyank, Richa Mittal
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On the Joint Distribution of the Medians in Samples from a Multivariate Population [PDF]
The Annals of Mathematical Statistics, 1941 Alexander M. Mood
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Empirical Robust Multivariate Regression Parameter Estimation Using Median Approach [PDF]
International Journal of Scientific Research in Mathematical and Statistical Sciences, 2018 O. K. Sajana, T. A. Sajesh
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On Multivariate Median Regression [PDF]
Bernoulli, 1999 The author considers an extension of the concept of least absolute deviation regression for problems with multivariate response. The approach is based on a transformation and retransformation technique that chooses a data-driven coordinate system for transforming the response vectors and then retransform the estimate of the matrix of regression ...
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