The intuition behind Jensen's Inequality

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I don't think this gives any intuition as to why this inequality is generally true, you just worked out an example.

lidor
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This inequality, for no bias reason atall, is the best inequality out there

JensenPlaysMC
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The average of many (convex) function evaluations is usually greater than the function evaluation of an average

UAslak
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Super simple and way more helpful than the dry formulations in my class slides..thank you!!

caseyli
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Super intuitive, very helpful. Thanks!

AlleyCat
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Nice video but where's the intuition part

AntonSchukin
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Who is here because of the book called antifragile?

dziugas