Suppose that X can take k values, and its distribution is p(1) = 1 - p,...
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Suppose that X can take k values, and its distribution is p(1) = 1 - p, p(x) = ₁ 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. Suppose that X can take k values, and its distribution is p(1) = 1 - p, p(x) = ₁ 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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Related Book For
Statistics Principles And Methods
ISBN: 9780470904114
7th Edition
Authors: Richard A. Johnson, Gouri K. Bhattacharyya
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