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Dec 17, 2019 at 14:01 comment added Iosif Pinelis @user1388672 : This phenomenon will occur, not just with Bernouli distributions, but with distributions on any nontrivial probability space. I have added details on this.
Dec 17, 2019 at 14:00 history edited Iosif Pinelis CC BY-SA 4.0
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Dec 17, 2019 at 9:22 comment added user1388672 Thank you very much. I see. The Bernoulli distribution becomes abnormal when $s$ approches 0.
Dec 17, 2019 at 5:27 history edited Iosif Pinelis CC BY-SA 4.0
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Dec 17, 2019 at 4:07 history answered Iosif Pinelis CC BY-SA 4.0