TY - JOUR
T1 - General formulas for the Neyman-Pearson type-II error exponent subject to fixed and exponential type-I error bounds
AU - Chen, Po-Ning
PY - 1996/1
Y1 - 1996/1
N2 - The general formulas for the Neyman-Pearson type-II error exponent subject to two different type-I error constraints, as indicated in the title of the correspondence, are established. As revealed in the formulas, the type-II error exponents are fully determined by the ultimate statistical characteristic of the normalized log-likelihood ratio evaluated under the null hypothesis distribution. Applications of the general formulas to distributed Neyman-Pearson detection, and the channel reliability function are also demonstrated.
AB - The general formulas for the Neyman-Pearson type-II error exponent subject to two different type-I error constraints, as indicated in the title of the correspondence, are established. As revealed in the formulas, the type-II error exponents are fully determined by the ultimate statistical characteristic of the normalized log-likelihood ratio evaluated under the null hypothesis distribution. Applications of the general formulas to distributed Neyman-Pearson detection, and the channel reliability function are also demonstrated.
KW - Channel reliability function
KW - Distributed detection
KW - Error exponent
KW - Neyman-Pearson hypothesis testing
UR - http://www.scopus.com/inward/record.url?scp=0029770925&partnerID=8YFLogxK
U2 - 10.1109/18.481811
DO - 10.1109/18.481811
M3 - Article
AN - SCOPUS:0029770925
SN - 0018-9448
VL - 42
SP - 316
EP - 323
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 1
ER -