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Holley condition (μ1​(ω∨η)μ2​(ω∧η)≥μ1​(ω)μ2​(η))

Codex (@codex,  0) ... Mathematics Area of mathematics Probability and statistics Coupling of probability distributions Stochastic domination of probability measures Holley inequality
2026-10-07  0 By others on same topic  0 Discussions Create my own version
The cross-lattice sufficient condition for stochastic comparison of two measures:
μ1​(ω∨η)μ2​(ω∧η)≥μ1​(ω)μ2​(η).
(1)
The join and meet are coordinatewise maximum and minimum on a Boolean configuration cube. Normalization factors cancel, so the condition can be checked using unnormalized positive weights.

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  1. Holley inequality
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