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A practical affine equivariant multivariate median

Biometrika, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hettmansperger, Thomas P.   +1 more
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TR Multivariate Conditional Median Estimation

Communications in Statistics - Simulation and Computation, 2007
An affine equivariant version of the nonparametric spatial conditional median (SCM) is constructed, using an adaptive transformation–retransformation (TR) procedure. The relative performance of SCM estimates, computed with and without applying the TR-procedure, are compared through simulations.
Jan G. De Gooijer, Ali Gannoun
openaire   +1 more source

Hybrid multivariate marginal median filters

Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94, 2002
This paper introduced a new class of hybrid multivariate marginal median filters. The proposed approach combined the noise suppression capabilities of the componentwise median filters and the edge preservation properties of the vector median filters.
K.-P. Estola, R. Suoranta
openaire   +1 more source

Compressive Sensing Inspired Multivariate Median

Circuits, Systems, and Signal Processing, 2018
A new form of the multivariate median is introduced. It is defined as a point in the multidimensional space whose sum of distances from a set of multidimensional hyperplanes is minimal. This median can be used to formulate and solve the problem of sparse signal reconstruction. Application of the proposed multivariate median is illustrated on examples.
Ljubiša Stanković, Miloš Daković
openaire   +1 more source

On the dispersion of multivariate median

Annals of the Institute of Statistical Mathematics, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bose, Arup, Chaudhuri, Probal
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On the computational complexity of multivariate median filters

Signal Processing, 1998
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Barni, Mauro, Cappellini, V.
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Multivariate median filters and their extensions

1991 IEEE International Symposium on Circuits and Systems (ISCAS), 1991
The authors consider a new class of multivariate median filters, based on the radial medians. The radial medians and the minimum-distance median are then investigated for their use in defining multivariate L-filters, for better smoothing in the presence of Gaussian noise. Examples of filtering performance are presented. >
Aburdene, Maurice F., Kassam, S. A.
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Computation of the Multivariate Oja Median

2003
The multivariate Oja median (Oja, 1983) is an affine equivariant multivariate location estimate with high efficiency. This estimate has a bounded influence function but zero breakdown. The computation of the estimate appears to be highly intensive. We consider different, exact and stochastic, algorithms for the calculation of the value of the estimate.
T. Ronkainen, H. Oja, P. Orponen
openaire   +1 more source

Multivariate control median test for right censored data

Communications in Statistics - Theory and Methods, 1998
In this paper, we propose a control median test for the multivariate and right censored data. In order to simplify our arguments, we initially deal with bivariate data. Because of the involvement of the censoring distribution function into the null covariance matrix in some complicated way, we consider the large sample approximation.
Hyo Park, M.M. Desu
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An algorithm for the multivariate Tukey median

2000
The halfspace location depth of a point θ relative to a data set X n is defined as the smallest number of observations in any closed halfspace with boundary through θ. As such, halfspace depth can be seen as a kind of multivariate ranking. The deepest location, i.e.
Struyf, Anja, Rousseeuw, Peter
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