Page 287 - Schaum's Outlines - Probability, Random Variables And Random Processes

280 DECISION THEORY [CHAP. 8

8.22. Consider the binary communication system of Prob. 8.6.
(a) Construct a Neyman-Pearson test for the case where a = 0.1.
(b) Find g.
H1
Ans. (a) Ixl><1.282; (b) /?=0.6111
Ho
8.23. Consider the binary decision problem of Prob. 8.11. Determine the Bayes' test if P(Ho) 0.25 and the
=
Bayes' costs are
Coo = Cll 0 CO1 = 1 CIO 2
=
=
H1
Ans. 1x1 5 1.10
Ho