Question
The conditional pdfs corresponding to two hypotheses are given: f(y|H0) = 1/2 exp(-y/2), y>0 f(y|H1) = 1/4 exp(-y/4), y>0 Suppose we want to test these
The conditional pdfs corresponding to two hypotheses are given:
f(y|H0) = 1/2 exp(-y/2), y>0
f(y|H1) = 1/4 exp(-y/4), y>0
Suppose we want to test these hypotheses based on two independent samples y1 and y2. Assume equally likely priors.
a) Derive the Bayes decision rule for the test, assuming C00 = C11 = 0 and C01=C10 = 1.
b) Calculate Pr(D0 | H1) and Pr(D1 | H0)
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Elementary Number Theory
Authors: Charles Vanden Eynden
2nd Edition
1478639113, 9781478639114
