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Let B, B2,..., Bn be IID Bernoulli(p) random variables with 0 < p < 1. The task is to estimate p. (a) Find a
Let B, B2,..., Bn be IID Bernoulli(p) random variables with 0 < p < 1. The task is to estimate p. (a) Find a rule for obtaining the maximum likelihood estimate of PML for p. The estimate should only depend on the realization b,b2,..., bn. (b) Assume that > 0 is a tolerance parameter during estimation. Find the Chernoff bound on P(PML- p> ). How does n grow to ensure that this upper bound is d for a given > 0?
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Artificial Intelligence A Modern Approach
Authors: Stuart Russell, Peter Norvig
3rd edition
136042597, 978-0136042594
