A few brief notes on the equivalence of two expressions for statistical significance in point source detections
Abstract
The problem of point source detection in Poisson-limited count maps has been addressed by two recent papers [M. Lampton, ApJ 436, 784 (1994); D. E. Alexandreas, et al., Nucl. Instr. Meth. Phys. Res. A 328, 570 (1993)]. Both papers consider the problem of determining whether there are significantly more counts in a source region than would be expected given the number of counts observed in a background region. The arguments in the two papers are quite different (one takes a Bayesian point of view and the other does not), and the suggested formulas for computing p-values appear to be different as well. It is shown here that the expressions provided by the authors of these two articles are in fact equivalent.
Keywords
Cite
@article{arxiv.2008.05574,
title = {A few brief notes on the equivalence of two expressions for statistical significance in point source detections},
author = {James Theiler},
journal= {arXiv preprint arXiv:2008.05574},
year = {2020}
}
Comments
5 pages, no figures; written in 1998, and never published (until now)