NP theorem (2/7) Binary Hypo.Test:Ho or H1:one of them Happens for sure p(H;H):Prob.(decide H when Ho is true)False alarm p(Ho:H):Prob.(decide Ho when H is true)Miss Detection p(Ho:H):Prob.(decide Ho when Ho is true)Non-Detection p(H;H):Prob.(decide H when H is true)Detection! .Type I error:decide H when Ho is true:PrA Type II error:decide Ho when H is true:1-Pp Our Goal is to minimize error! whxiong@uestc.edu.cn 10whxiong@uestc.edu.cn NP theorem (2/7) Binary Hypo. Test: H0 or H1:one of them Happens for sure 10 •p(H1 ;H0 ): Prob.(decide H1 when H0 is true) False alarm •p(H0 ;H1 ): Prob.(decide H9 when H1 is true) Miss Detection • p(H0 ;H0 ): Prob.(decide H0 when H0 is true) Non-Detection • p(H1 ;H1 ): Prob.(decide H1 when H1 is true) Detection! Our Goal is to minimize error! • Type I error: decide H1 when H0 is true: PFA •Type II error: decide H0 when H1 is true: 1-PD