A Short Survey on Bounding the Union Probability using Partial Information

2017/10/20 by Jun Yang, Fady Alajaji, Yang, Jun +3 · 1 citation
Computer Science · Decision Sciences · #Bayesian Modeling and Causal Inference #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Probability (math.PR) #Probability and Risk Models #Risk and Portfolio Optimization

paper · pdf · doi:10.48550/arxiv.1710.07576

openalex publication_date 2017/10/20 · openalex created_date 2017/11/10 · openalex updated_date 2026/07/28

Abstract

This is a short survey on existing upper and lower bounds on the probability of the union of a finite number of events using partial information given in terms of the individual or pairwise event probabilities (or their sums). New proofs for some of the existing bounds are provided and new observations regarding the existing Gallot--Kounias bound are given.

Cited by

• Improved Bounds on the Probability of a Union and on the Number of Events that Occur

Related

• On Bounding the Union Probability Using Partial Weighted Information
• Improved Bounds on the Probability of a Union and on the Number of Events that Occur
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• Estimates for probabilities of independent events and infinite series
• On upper and lower bounds for probabilities of combinations of events