Poisson置信区间的Roe-Woodroofe构造
A Comment on the Roe-Woodroofe Construction of Poisson Confidence Intervals
摘要：
我们认为Roe-Woodroofe建设的情况下，泊松分布的变量的置信区间的均值是一个已知的背景和一个未知的非负信号的总和。我们指出，区间没有覆盖在通常意义上，但可以有这样的修改，不影响可信度和其他可取的功能，这个有吸引力的建设。一个类似的修改，可以用来提供覆盖到最近提出的建设由Gaussian-with-boundary问题。
英文摘要：
We consider the Roe-Woodroofe construction of confidence intervals for the case of a Poisson distributed variate where the mean is the sum of a known background and an unknown non-negative signal. We point out that the intervals do not have coverage in the usual sense but can be made to have such with a modification that does not affect the believability and other desirable features of this attractive construction. A similar modification can be used to provide coverage to the construction recently proposed by Cousins for the Gaussian-with-boundary problem.
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