Prove this version of the Bonferroni inequality: P(\cap^{n}_{i=1} A_{i})\geq 1-\sum_{i=1}^n P(A_{i}^{c})(Use Venn diagrams if you wish.) In the contex

FobelloE

FobelloE

Answered question

2021-07-03

Prove this version of the Bonferroni inequality: P(i=1nAi)1i=1nP(Aic)(Use Venn diagrams if you wish.) In the context of simultaneous confidence intervals, what is Ai and what is Aic?

Answer & Explanation

FieniChoonin

FieniChoonin

Skilled2021-07-04Added 102 answers

Using the induction, we managed to prove the Bonferroni inequality.

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Recalculate according to your conditions!

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