The ordering of multivariate data

V Barnett - Journal of the Royal Statistical Society: Series A …, 1976 - Wiley Online Library
In spite of the lack of a natural basis for ordering multivariate data, we encounter an
extension of univariate order concepts such as medians, extremes and ranges to the higher …

Multivariate order statistics: Theory and application

GB Weller, WF Eddy - Annual Review of Statistics and Its …, 2015 - annualreviews.org
… This work revisits several proposals for the ordering of multivariate data via a prescribed
depth function. We argue that one of these deserves special consideration, namely, Tukey's …

New methods for ordering multivariate data: an application to the performance of investment funds

S Zani, M Riani, A Corbellini - Applied Stochastic Models in …, 1999 - Wiley Online Library
… The problem is the ordering of multivariate data and the search for the units lying far from
the centroid. This question is related to the detection of multivariate outliers (Atkinson AC. Fast …

Decision Making in Financial Markets Through Multivariate Ordering Procedure

L Grilli, MA Russo - Mathematical and Statistical Methods in Insurance …, 2008 - Springer
One of the main problems in managing multidimensional data for decision making is that it is
impossible to define a complete ordering on multidimensional Euclidean spaces. In order to …

[PDF][PDF] A new R-ordering procedure to rank multivariate performances

MR D'Esposito, G Ragozini - Quaderni di Statistica, 2008 - labstat.it
Performance analysis has become a strategic activity in managing complex systems. The
aim of this activity is often benchmarking, that is the comparison among various units on the …

On data description, population estimation and the selection of multivariate ordering

M Breth - Journal of the Royal Statistical Society: Series D (The …, 1985 - Wiley Online Library
This paper is concerned with the use of sub‐ordering principles for multivariate data for data
description or for the construction of distribution‐free inferences about the data generating …

On multivariate order statistics. Application to ranked set sampling

BC Arnold, E Castillo, JM Sarabia - Computational statistics & data analysis, 2009 - Elsevier
Two new concepts of order statistics for multivariate samples are introduced. In one of the
versions it turns out that not every multivariate order statistic is present in every sample. These …

On the records of multivariate random sequences

I Bayramoglu - Metrika, 2016 - Springer
Two types of records in multivariate sequences are considered in this paper. According to the
first definition, a multivariate observation is accepted as a record if it is not dominated in at …

[PDF][PDF] Decision Making in Financial Markets by Means of a Multivariate Ordering Procedure

L Grilli, MA Russo - … and Statistical Methods for Insurance and …, 2008 - academia.edu
One of the main problems in managing multidimensional data for decision making is that it is
not possible to define a complete ordering on multidimensional Euclidean spaces. In order …

On an order-based multivariate median

R Pérez-Fernández - Fuzzy Sets and Systems, 2021 - Elsevier
Although the order-based definition of the univariate median is ubiquitous in statistics, the
same order-based definition is typically abandoned when extending the univariate median to …