Nested Test for Point Sources
We describe an extension of a test proposed by Lampton for detecting weak and/or short-lived transient point sources in finite-resolution photon-limited maps of the sky. We test the null hypothesis that the count density is spatially uniform (i.e., no point sources) over a limited region of the sky by decomposing that region into a nested set of source regions and background annuli, and testing whether the count density in each source region differs significantly from the count density in each associated background. The tests are by construction independent, so a combined p-value can be rigorously defined.
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