Review:NP theorem NP Theorem:Likelihood ratio test(LRT) .maximize Pp while a given PrA=a,decide H if L(x)= P(x;H) P(x;Ho) The threshold y is determined from PrA as p(x;Ho)dx =a whxiong@uestc.edu.cnwhxiong@uestc.edu.cn Review: NP theorem NP Theorem: Likelihood ratio test (LRT) • maximize PD while a given PFA =α , decide H1 if 7 L(x) = P(x; H1) P(x; H0) > ° The threshold γ is determined from PFA as PFA = Z x:L(x)>° p(x; H0)dx = ®