关于点源探测中两种统计显著性表达式的等价性的几点注记
A few brief notes on the equivalence of two expressions for statistical significance in point source detections
摘要：
最近的两篇论文[M。Lampton，ApJ 436，784（1994）; D. E. Alexandreas等人，核仪器Meth. A 328，570（1993）]。这两篇论文考虑的问题，确定是否有显着更多的计数在一个源区域比预期给定的数量在背景区域中观察到的计数。这两篇论文中的论点截然不同（一篇采用贝叶斯观点，另一篇则没有），并且建议的计算p值的公式似乎也不同。这里表明，这两篇文章的作者提供的表达方式实际上是等同的。
英文摘要：
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.
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