Degree Type

Dissertation

Date of Award

1984

Degree Name

Doctor of Philosophy

Department

Statistics

Abstract

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.

DOI

https://doi.org/10.31274/rtd-180813-5367

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

John Marcus Jobe

Language

en

Proquest ID

AAI8423715

File Format

application/pdf

File Size

77 pages

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