Date of Award
Doctor of Philosophy
This research addresses the question of how one's ability to discriminate between two Poisson processes is affected by the relative behavior of their respective intensity functions. One approach involves observation of the process up to the k-th occurrence time, t(,k). Another is to observe the process up to a fixed time T. The error probabilities for these two approaches are analyzed as k and T, respectively, tend to infinity. Different types of relative behavior of the two intensity functions are considered;Additional work involves application of invariance theory to discrimination between two classes of Poisson processes.
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
John Marcus Jobe
Jobe, John Marcus, "Error rates for Poisson process discrimination " (1984). Retrospective Theses and Dissertations. 7769.