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Oct 25 at 17:45 comment added Iosif Pinelis @AnthonyQuas : Thank you for your comment.
Oct 25 at 15:23 comment added Anthony Quas I had asked myself the same question, motivated, of course, by your answer to Nate River’s question.
Oct 25 at 12:09 comment added Iosif Pinelis @IlyaBogdanov : Thank you for your comment and the great answer!
Oct 25 at 12:08 history edited Iosif Pinelis CC BY-SA 4.0
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Oct 25 at 12:06 comment added Nate River Indeed, if the essential infimum of $3/2$ is achieved, it has to be a deterministic $3/2$, since that is exactly the expectation also. So your configuration is exactly the desired probability measure. @IlyaBogdanov
Oct 25 at 11:46 comment added Ilya Bogdanov Seems that an answer to mathoverflow.net/questions/481225 provides an answer here as well?
Oct 25 at 11:19 comment added Iosif Pinelis @NateRiver : This is now done. Thank you for your comment.
Oct 25 at 11:18 history edited Iosif Pinelis CC BY-SA 4.0
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Oct 25 at 11:11 history edited Iosif Pinelis CC BY-SA 4.0
added 799 characters in body
Oct 25 at 6:50 comment added Nate River Hm, should we link the coupling problem for additional motivation maybe?
Oct 25 at 3:22 history asked Iosif Pinelis CC BY-SA 4.0