The University of Southampton
University of Southampton Institutional Repository

Distribution-function-based bivariate quantiles

Chen, L.-A. and Welsh, A.H. (2002) Distribution-function-based bivariate quantiles Journal of Multivariate Analysis, 83, (1), pp. 208-231. (doi:10.1006/jmva.2001.2043).

Record type: Article


We introduce bivariate quantiles which are defined through the bivariate distribution function. This approach ensures that, unlike most multivariate medians or the multivariate M-quartiles, the bivariate quantiles satisfy an analogous property to that of the univariate quantiles in that they partition R2 into sets with a specified probability content. The definition of bivariate quantiles leads naturally to the definition of quantities such as the bivariate median, bivariate extremes, the bivariate quantile curve, and the bivariate trimmed mean. We also develop asymptotic representations for the bivariate quantiles.

Full text not available from this repository.

More information

Published date: 2002
Keywords: bivariate extreme, bivariate median, bivariate quantile, bivariate quantile curve, bivariate trimmed mean
Organisations: Statistics


Local EPrints ID: 29941
ISSN: 0047-259X
PURE UUID: 3104b8b2-541d-4fec-bb12-6bd400a98db6

Catalogue record

Date deposited: 12 May 2006
Last modified: 17 Jul 2017 15:56

Export record



Author: L.-A. Chen
Author: A.H. Welsh

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.