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Sep 25, 2022 at 20:53 comment added Iosif Pinelis @cardinal : Thank you for your comment. I actually own the Uspensky book, but had not noticed that result (which is for the Kolmogorov distance, though).
Sep 25, 2022 at 18:06 comment added cardinal (+1) Uspensky (1937) provides a similar result, in flavor, based on a straightforward analysis of characteristic functions, as detailed in this answer. Empirically, the bound seems reasonably tight.
Sep 8, 2022 at 22:05 vote accept anon
Sep 6, 2022 at 14:28 history edited Iosif Pinelis CC BY-SA 4.0
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Sep 6, 2022 at 1:35 history edited Iosif Pinelis CC BY-SA 4.0
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Sep 5, 2022 at 23:26 history edited Iosif Pinelis CC BY-SA 4.0
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Sep 5, 2022 at 20:00 history edited Iosif Pinelis CC BY-SA 4.0
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Sep 5, 2022 at 15:50 history answered Iosif Pinelis CC BY-SA 4.0