Information, Weight of Evidence. The Singularity Between Probability Measures and Signal Detection

List of symbols.- Information in events and weight of evidence.- Entropy.- Singularity between two probability measures.- Expected mutual information.- Expected weight of evidence.- Divergence.- Expected mutual information, expected weight of evidence, and divergence for random processes.- Relationships between certain random processes and the singularity between probability measures.- Other expressions for expected mutual information.- Expressing expected weight of evidence for gaussian generalized processes in terms of integral operators.- Comparison between I(RT:ST), WT(HN/HS+N), and JT(N, S+N) for gaussian signals and noise.- Expected mutual information rate.- Rate of expected weight of evidence.- Gaussian processes with equal covariance functions including nonrandom signals in gaussian noise.- Summary of the major results in this survey for gaussian processes, including gaussian signals and noise.- Conclusions and areas for additional research.