DUALITY PRINCIPLE IN ORDER-STATISTICS

Authors
BALASUBRAMANIAN K BALAKRISHNAN N
Citation
K. Balasubramanian et N. Balakrishnan, DUALITY PRINCIPLE IN ORDER-STATISTICS, Journal of the Royal Statistical Society. Series B: Methodological, 55(3), 1993, pp. 687-691
Citations number
16
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Journal of the Royal Statistical Society. Series B: Methodological
ISSN journal
00359246 → ACNP
Volume
55
Issue
3
Year of publication
1993
Pages
687 - 691
Database
ISI
SICI code
1369-7412(1993)55:3<687:DPIO>2.0.ZU;2-4
Abstract
We establish a duality principle for order statistics in the arbitrary case, using which many known dual results on order statistics can be deduced without a formal proof. The literature on order statistics is rich with such dual pairs derived under different assumptions such as continuity, absolute continuity, exchangeability, etc.