A distribution-free test for anomalous gamma-ray spectra |
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| Institution: | 1. Department of Statistics and Actuarial Science, The University of Iowa, Iowa City, IA 52242, United States;2. Department of Civil and Environmental Engineering, The University of Iowa, Iowa City, IA 52242, United States;3. Electrical and Computer Engineering, The University of Iowa, Iowa City, IA 52242, United States;1. Department of Nuclear Science and Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. Jiangsu Key Laboratory of Nuclear Energy Equipment Materials Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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| Abstract: | Gamma-ray spectra are increasingly acquired in monitoring cross-border traffic, or in an area search for lost or orphan special nuclear material (SNM). The signal in such data is generally weak, resulting in poorly resolved spectra, thereby making it hard to detect the presence of SNM. We develop a new test for detecting anomalous spectra by characterizing the complete shape change in a spectrum from background radiation; the proposed method may serve as a tripwire for routine screening for SNM. We show that, with increasing detection time, the limiting distribution of the test is given by some functional of the Brownian bridge. The efficacy of the proposed method is illustrated by simulations. |
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| Keywords: | Boundary crossing Brownian bridge Gamma-ray spectrum Poisson distribution |
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