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Everything about Chernoff bound

Exponentially decreasing bounds on tail distributions of random variables

In probability theory, a Chernoff bound is an exponentially decreasing upper bound on the tail of a random variable based on its moment generating function. The minimum of all such exponential bounds forms the Chernoff or Chernoff-Cramér bound, which may decay faster than exponential. It is especially useful for sums of independent random variables, such as sums of Bernoulli random variables. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Chernoff boundA 5-minute orientation
  2. Pick up a classic book: Algorithm Design and ApplicationsThe most-reprinted book on the subject
  3. Read the landmark paper: Data-Driven Anomaly Detection in Robots using Matrix Chernoff BoundsCited 0 times
  4. Go sideways: Hoeffding's inequalityA closely related topic
  5. Go sideways: Concentration inequalityA closely related topic

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