A correlational inequality for linear extensions of a poset¶
Fishburn, P. C. (1984). A correlational inequality for linear extensions of a poset. Order.
Cited by¶
2 citations across 1 artifact.
Domain-specific¶
- XYZ inequality
- The Fishburn–Shepp XYZ inequality relates probabilities such as P(x before y) under a uniformly random linear extension and asserts that not all three cyclic comparisons can be too strongly biased in the same direction.
- … demonstrates that the finite poset, three incomparable elements, uniform linear-extension measure, exact precedence probabilities and stated XYZ inequality and equality conditions are explicit. to An applied instance preserves the same invariant under changed scale, notation, jurisdiction, dataset, or implementation..
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