=+This shows that the Etemadi and Ottaviani inequalities are of the same power for most purposes (as,
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=+This shows that the Etemadi and Ottaviani inequalities are of the same power for most purposes (as, for example, for the proofs of Theorem 22.7 and (37.9)).
Etemadi's inequality seems the more natural of the two. Neither inequality can replace (9.39) in the proof of the law of the iterated logarithm.
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Related Book For 
Probability And Measure Wiley Series In Probability And Mathematical Statistics
ISBN: 9788126517718
3rd Edition
Authors: Patrick Billingsley
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