Consider a two-hypothesis decision problem where (a) Find the likelihood ratio Î(Z). (b) Letting the threshold n

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Consider a two-hypothesis decision problem where
(зi-) and fz(z|H2) exp = ; exp(-|z|) fz(z|Hj) = 2л

(a) Find the likelihood ratio Λ(Z).

(b) Letting the threshold n be arbitrary, find the decision regions R1 and R2 illustrated in Figure 11.1. Note that both R1 and R2 cannot be connected regions for this problem; that is, one of them will involve a multiplicity of line segments.


Figure 11.1

f,(z|H}) f,(z\H,) R1 -R2 -R1 R2 0| k

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