1 Chernoff bound
... The Chernoff bound gives exponentially decreasing bounds on tail distributions of sums of independent random variables. This means the bound is asymptotically stronger than Markov’s or Chebyshev’s inequality. However, independence of the random variables is required. Theorem 1 (Chernoff bound) Let X ...
... The Chernoff bound gives exponentially decreasing bounds on tail distributions of sums of independent random variables. This means the bound is asymptotically stronger than Markov’s or Chebyshev’s inequality. However, independence of the random variables is required. Theorem 1 (Chernoff bound) Let X ...
Unit 13(Probability)
... Example 22 One of the condition of Bernoulli trials is that the trials are independent of each other. Solution:True. ...
... Example 22 One of the condition of Bernoulli trials is that the trials are independent of each other. Solution:True. ...
5.5 ROBABILITY AS A THEORETICAL CONCEPT Equally Likely
... this). We have already used this viewpoint in simple cases—for example, when we decided which model to use in a given experiment. We first need to discuss the idea of equally likely outcomes. When the outcomes are equally likely, the method for computing the theoretical probability just proposed in ...
... this). We have already used this viewpoint in simple cases—for example, when we decided which model to use in a given experiment. We first need to discuss the idea of equally likely outcomes. When the outcomes are equally likely, the method for computing the theoretical probability just proposed in ...
