Add to ORKGAn affine equivariant version of multivariate median is introduced. The proposed median is easy to compute and has some appealing geometric features that are related to the configuration of a multivariate data cloud. The transformation and re-transformation approach used in the construction of the median has some fundamental connection with the data driven co-ordinate system considered by Chaudhuri and Sengupta (1993, Journal of the American Statistical Association). Large sample statistical properties of the median are discussed and finite sample performance is investigated using Monte Carlo simulations
The median problem seeks a permutation whose total distance to a given set of permutations (the base...
A new method is introduced for geometrically reconstructing orthant probabilities for non-singular m...
We consider the affine equivariant sign covariance matrix (SCM) introduced by Visuri et al. (J. Stat...
An affine equivariant version of multivariate median is introduced. The proposed median is easy to c...
An affine equivariant estimate of multivariate location based on an adaptive transformation and retr...
An affine equivariant modification of the spatial median constructed using an adaptive transformatio...
In this note we investigate the extent to which some of the fundamental properties of univariate med...
Univariate median is a well-known location estimator, which is√ n-consistent, asymptotically Gaussia...
The univariate median is a well-known location estimator, which is √n-consistent, asymptotically Gau...
Tukey used the idea of depth-trimming to define an affine-equivariant multivariate sample median. We...
The geostatistical treatment of continuous variables often includes a transformation to normal score...
Finite-sample replacement breakdown points are derived for different types of estimators of multivar...
Visuri, Koivunen and Oja (2003) proposed and illustrated the use of the affine equivariant rank cova...
This article introduces a new formulation of, and method of computation for, the projection median. ...
An extension of the concept of quantiles in multidimensions that uses the geometry of multivariate d...
The median problem seeks a permutation whose total distance to a given set of permutations (the base...
A new method is introduced for geometrically reconstructing orthant probabilities for non-singular m...
We consider the affine equivariant sign covariance matrix (SCM) introduced by Visuri et al. (J. Stat...
An affine equivariant version of multivariate median is introduced. The proposed median is easy to c...
An affine equivariant estimate of multivariate location based on an adaptive transformation and retr...
An affine equivariant modification of the spatial median constructed using an adaptive transformatio...
In this note we investigate the extent to which some of the fundamental properties of univariate med...
Univariate median is a well-known location estimator, which is√ n-consistent, asymptotically Gaussia...
The univariate median is a well-known location estimator, which is √n-consistent, asymptotically Gau...
Tukey used the idea of depth-trimming to define an affine-equivariant multivariate sample median. We...
The geostatistical treatment of continuous variables often includes a transformation to normal score...
Finite-sample replacement breakdown points are derived for different types of estimators of multivar...
Visuri, Koivunen and Oja (2003) proposed and illustrated the use of the affine equivariant rank cova...
This article introduces a new formulation of, and method of computation for, the projection median. ...
An extension of the concept of quantiles in multidimensions that uses the geometry of multivariate d...
The median problem seeks a permutation whose total distance to a given set of permutations (the base...
A new method is introduced for geometrically reconstructing orthant probabilities for non-singular m...
We consider the affine equivariant sign covariance matrix (SCM) introduced by Visuri et al. (J. Stat...