Derive the bayes classifier assuming equal a priori

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The one-dimensional class-conditional feature pdfs for a 2-category classification problem have triangular shapes: p(x|?1) = 1 ? x/2 for 0 < x < 2 and zero elsewhere; p(x|?2) = (x ? 1)/2 for 1 < x < 3 and zero elsewhere.

a) Derive the Bayes classifier, assuming equal a priori probabilities.

b) Find the location of the decision boundary

Reference no: EM13604700

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