TY - CHAP Y1 - 2013/// PB - Springer A1 - Foschi, Rachele A1 - Spizzichino, Fabio SP - 59 T3 - Lecture Notes in Statistics N1 - Book in honor of Professor Moshe Shaked ID - eprints1433 T2 - Stochastic Orders in Reliability and Risk EP - 80 KW - Positive dependence KW - reversed conditional orderings KW - default contagion KW - conditional independence. AV - public TI - Reversing conditional orderings UR - http://dx.doi.org/10.1007/978-1-4614-6892-9_3 SN - 978-1-4614-6892-9 N2 - 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. ER -