Directionally convex ordering of random measures, shot noise fields, and some applications to wireless communications

@article{Baszczyszyn2009DirectionallyCO,
  title={Directionally convex ordering of random measures, shot noise fields, and some applications to wireless communications},
  author={B. Błaszczyszyn and D. Yogeshwaran},
  journal={Advances in Applied Probability},
  year={2009},
  volume={41},
  pages={623 - 646}
}
Directionally convex ordering is a useful tool for comparing the dependence structure of random vectors, which also takes into account the variability of the marginal distributions. It can be extended to random fields by comparing all finite-dimensional distributions. Viewing locally finite measures as nonnegative fields of measure values indexed by the bounded Borel subsets of the space, in this paper we formulate and study directionally convex ordering of random measures on locally compact… Expand
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