Discrimination, signal detection, and estimation for Weibull-type Poisson processes

摘要

Discrimination, signal detection, and estimation in the context of Weibull-type nonhomogeneous Poisson processes are considered for four different sampling plans: Type I and Type II censoring and same-shape and equal-distance sampling. Procedures based on likelihood functions and on extensions of the Kolmogorov-Smirnov statistic are developed. The results are pertinent to signal detection problems in biomedicine (e.g., EKG and EEG monitoring) and engineering.