relation: http://eprints.imtlucca.it/1433/
title: Reversing conditional orderings
creator: Foschi, Rachele
creator: Spizzichino, Fabio
subject: QA Mathematics
description: We analyze some specific aspects concerning conditional orderings and relations among them. To this purpose we define a suitable concept of reversed conditional ordering and prove some related results. In particular we aim to compare the univariate stochastic orderings ≤ st, ≤ hr, and ≤ lr in terms of differences among different notions of conditional orderings. Some applications of our result to the analysis of positive dependence will be detailed. We concentrate attention to the case of a pair of scalar random variables X, Y ​. Suitable extensions to multivariate cases are possible.
publisher: Springer
date: 2013
type: Book Section
type: PeerReviewed
format: application/pdf
language: en
identifier: http://eprints.imtlucca.it/1433/1/Foschi-Spizzichino.pdf
identifier:   Foschi, Rachele and Spizzichino, Fabio  Reversing conditional orderings.   In:  Stochastic Orders in Reliability and Risk.   Lecture Notes in Statistics .  Springer, pp. 59-80.  ISBN 978-1-4614-6892-9      (2013)  
relation: http://dx.doi.org/10.1007/978-1-4614-6892-9_3
relation: 10.1007/978-1-4614-6892-9_3