@incollection{eprints1433,
       booktitle = {Stochastic Orders in Reliability and Risk},
            note = {Book in honor of Professor Moshe Shaked},
       publisher = {Springer},
          author = {Rachele Foschi and Fabio Spizzichino},
          series = {Lecture Notes in Statistics},
           title = {Reversing conditional orderings},
            year = {2013},
           pages = {59--80},
             url = {http://eprints.imtlucca.it/1433/},
        abstract = {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 {$\leq$} st, {$\leq$} hr, and {$\leq$} 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.},
        keywords = {Positive dependence, reversed conditional orderings, default contagion, conditional independence.}
}