Article ID: | iaor19921989 |
Country: | United Kingdom |
Volume: | 23 |
Issue: | 3 |
Start Page Number: | 642 |
End Page Number: | 659 |
Publication Date: | Sep 1991 |
Journal: | Advances in Applied Probability |
Authors: | Shanthikumar J. George |
Bivariate (and multivariate) functional representations for the following stochastic order relations are established: the likelihood ratio ordering, harzard rate ordering, and the usual stochastic ordering. The motivation of the study is (i)to provide a general approach that supports the ‘pairwise interchange’ arguments widely used in various settings, and (ii)to develop new notions of stochastic order relations so that