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- W2184627894 abstract "Linear bounds for the joint probability of multiple events are calculated using a simple linear programming approach. The bounds obtained are shown to be among the tightest of any other linear bounds. Numerical examples are also provided. assuming that P(Ei) and ሺܧ תܧ ሻ are known for every i and j. In this paper we find upper and lower bounds for ሺ ځ ܧ ሻ based on a subset of all the possible marginal and joint probabilities of the n events. Unlike Kounias, our approach is based on linear combinations of the known probabilities. We show that the bounds bound are the tightest possible given the information provided. Numerical examples will show that the bounds consistently produce tight results and in some cases coinciding thus precisely estimating the unknown probability." @default.
- W2184627894 created "2016-06-24" @default.
- W2184627894 creator A5002672130 @default.
- W2184627894 date "2013-01-01" @default.
- W2184627894 modified "2023-09-27" @default.
- W2184627894 title "A Linear Programming Approach for Bounding the Probability of an Intersection of Events" @default.
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- W2184627894 hasPublicationYear "2013" @default.
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