On uniform conditional stochastic order conditioned on planar regions

On uniform conditional stochastic order conditioned on planar regions

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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: ,
Abstract:

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.

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