# Hoeffding's inequality

Discussion in 'Advanced Applied Math' started by lexapro8585, Dec 1, 2022.

1. ### lexapro8585

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Hello
I want to know what does it mean if in Hoeffding's inequality

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lexapro8585, Dec 1, 2022
2. ### HallsofIvy

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It's close to trivial! The only place t appears on the right is in the numerator of a fraction so, as t goes to infinity that fraction goes to infinity, but that means the exponent is going to negative infinity so the exponential goes to 0.
On the left, a sum CAN'T be greater than infinity! So the probability on the left is also 0.

As t goes to 0, that inequality reduces to "0= 0".

HallsofIvy, Sep 3, 2023
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