The paper reviews recent contributions to the statistical inference methods, tests and
estimates, based on the generalized median of Oja. Multivariate analogues of sign and rank …

Nonparametric control charts are useful in statistical process control (SPC) when there is a
lack of or limited knowledge about the underlying process distribution, especially when the …

Robust statistical methods were developed to supplement the classical procedures when
the data violate classical assumptions. They are ideally suited to applied research across a …

Multivariate nonparametric statistical tests of hypotheses are described for the one-sample
location problem, the several-sample location problem and the problem of testing …

A robust affine equivariant estimator of location for multivariate data is proposed which
becomes the univariate median for data of dimension one. The estimator is robust in the …

The depth of multivariate data can be used to construct weighted means as robust
estimators of location. The use of projection depth leads to the Stahel-Donoho estimator as a …

Equivariance and invariance issues arise as a fundamental but often problematic aspect of
multivariate statistical analysis. For multivariate quantile and related functions, we provide …

Several robust nonparametric location estimators are examined with respect to several
criteria, with emphasis on the criterion that they should agree with the point of symmetry in …

A simpler multivariate sign test is proposed that uses the transformation-retransformation
approach of Chakraborty, Chaudhuri, and Oja together with a directional transformation due …

An extension of univariate quantiles in the multivariate set-up has been proposed and
studied. The proposed approach is affine equivariant, and it is based on an adaptive …