Bernstein Inequalities and Probability Theory
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Questions and Answers

Which distribution is also known as the Rademacher distribution?

  • Hoeffding distribution
  • Chernoff distribution
  • Bernoulli distribution (correct)
  • Azuma 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 ) )
  • 2 exp ⁡ ( − n ε 2 2 ( 1 + ε ) )
  • 2 exp ⁡ ( − n ε 2 2 ( 1 - ε ) )
  • 2 exp ⁡ ( − n ε 2 2 ( 1 + ε 3 ) ) (correct)

    • Who first proved and published the Bernstein inequalities?

  • Sergei Bernstein (correct)
  • Chernoff
  • Azuma
  • Hoeffding

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