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The effect of redundancy on probability bounds

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Publication:998500
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DOI10.1016/j.disc.2007.12.052zbMath1155.60008OpenAlexW2022293262MaRDI QIDQ998500

Fred M. Hoppe

Publication date: 28 January 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.12.052


zbMATH Keywords

linear programmingprobability boundredundant event


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Linear programming (90C05)


Related Items (3)

On bounding the union probability using partial weighted information ⋮ Upper and lower bounds of Borel–Cantelli Lemma in a general measure space ⋮ Lower Bounds on the Probability of a Finite Union of Events



Cites Work

  • Bounding the probability of the union of events by aggregation and disaggregation in linear programs
  • A lower bound on the probability of a finite union of events
  • Improving probability bounds by optimization over subsets
  • On explicit and Fréchet-optimal lower bounds
  • Boole-Bonferroni Inequalities and Linear Programming
  • A lower bound using Hamilton-type circuits and its applications
  • An Inequality for Probabilities


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