Article ID: | iaor1990764 |
Country: | Israel |
Volume: | 27 |
Issue: | 1 |
Start Page Number: | 1 |
End Page Number: | 7 |
Publication Date: | Mar 1990 |
Journal: | Journal of Applied Probability |
Authors: | Shanthikumar J. George, Koo Hui-Wen. |
Sufficient conditions under which two random vectors are ordered in the sense of uniform conditional stochastic order with respect to planar regions are given. A natural classification of distributions based on this notion of stochastic order is defined and studied. A negative dependence property of Block et al. is shown to hold for this class of distributions. An application of these results in statistics is also presented.