论文标题
关于点源检测中统计显着性的两种表达式的等效性的一些简短说明
A few brief notes on the equivalence of two expressions for statistical significance in point source detections
论文作者
论文摘要
最近两篇论文解决了泊松限制计数图中的点源检测问题[M. Lampton，APJ 436，784（1994）; D. E. Alexandreas等，Nucl。乐器。冰毒。物理。 res。 A 328，570（1993）]。两篇论文都考虑了确定源区域中是否存在明显多的计数的问题，鉴于背景区域中观察到的计数数量。这两篇论文中的论点完全不同（一个是贝叶斯的观点，另一个观点没有），而用于计算p值的建议公式似乎也有所不同。这里表明，这两篇文章的作者提供的表达实际上是等效的。
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.
