Bernstein Inequalities and Probability Theory

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RetractableHawkSEye
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3 Questions

Which distribution is also known as the Rademacher distribution?

Bernoulli distribution

What is the upper bound on the probability of the sum of random variables deviating from its mean, according to Bernstein inequalities?

2 exp ⁡ ( − n ε 2 2 ( 1 + ε 3 ) )

Who first proved and published the Bernstein inequalities?

Sergei Bernstein

Test your knowledge of Bernstein inequalities and their application in probability theory. This quiz covers the bounds on the deviation of the sum of random variables from its mean, focusing on the case of independent Bernoulli random variables. Challenge yourself with questions about probability, Rademacher distribution, and more.

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