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20 April 2024
 
  » arxiv » physics/0004052

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A Comment on the Roe-Woodroofe Construction of Poisson Confidence Intervals
Mark Mandelkern ; Jonas Schultz ;
Date 21 Apr 2000
Subject Data Analysis, Statistics and Probability; General Physics | physics.data-an physics.gen-ph
AbstractWe 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.
Source arXiv, physics/0004052
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