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.