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Suppose that X can take k values, and its distribution is p(1) = 1 - p, p(x) = for x 2. If X and
Suppose that X can take k values, and its distribution is p(1) = 1 - p, p(x) = for x 2. If X and Y are independent, what is the value of the right hand side of Fano's inequality? Assuming that 1-p>, what is the best guess one can make on the value of X? What is the probability of error? Show that Fano's inequality holds as an equality in this case.
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Statistics Principles And Methods
Authors: Richard A. Johnson, Gouri K. Bhattacharyya
7th Edition
8126557745, 470904119, 978-0470904114
