%0 Book Section
%A Foschi, Rachele
%A Spizzichino, Fabio
%B Stochastic Orders in Reliability and Risk
%D 2013
%F eprints:1433
%I Springer
%K Positive dependence, reversed conditional orderings, default contagion, conditional independence.
%P 59-80
%S Lecture Notes in Statistics
%T Reversing conditional orderings
%U http://eprints.imtlucca.it/1433/
%X 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.
%Z Book in honor of Professor Moshe Shaked