Is there a version of the Boole-Bonferroni inequality with expectations of random variables?
Is the only way the Boole-Bonferroni inequality can be satisfied is that no two of the events intersect? (And what is the analogous statement in an expectation version of the Boole-Bonferroni inequality)
2026-05-05 15:45:38.1777995938
About Boole-Bonferroni inequality
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(i) You can turn the probability of an event into the expectation of an indicator function
(ii) For equality you want the probabilities of the intersections to be $0$