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A combinatorial proof of the Burdzy-Pitman conjecture

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Publication:2686004
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DOI10.1214/23-ECP512WikidataQ123332057 ScholiaQ123332057MaRDI QIDQ2686004

Stanisław Cichomski, Fedor Petrov

Publication date: 24 February 2023

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.07219


zbMATH Keywords

bipartite graphsconditional expectationsmaximal inequalitycoherent opinions


Mathematics Subject Classification ID

Graph theory (05C99) Probability theory and stochastic processes (60-XX)


Related Items (1)

Doob's estimate for coherent random variables and maximal operators on trees



Cites Work

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  • Existence of probability measures with given marginals
  • Ramsey problems involving degrees in edge-colored complete graphs of vertices belonging to monochromatic subgraphs
  • Coherent combination of experts' opinions. (With discussion)
  • Bounds on the probability of radically different opinions
  • The maximal difference among expert's opinions
  • A maximal inequality for skew fields
  • Can Coherent Predictions be Contradictory?
  • Probability Inequalities for Sums of Bounded Random Variables
  • Notes on Spreads of Degrees in Graphs


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