• Corpus ID: 117010037

The uniformly most powerful test of statistical significance for counting-type experiments with background.

@article{Fleysher2003TheUM,
  title={The uniformly most powerful test of statistical significance for counting-type experiments with background.},
  author={Lazar Fleysher and Roman Fleysher and Todd Haines and Allen Mincer and Peter N{\'e}methy},
  journal={arXiv: Data Analysis, Statistics and Probability},
  year={2003}
}
In this paper, after a discussion of general properties of statistical tests, we present the construction of the most powerful hypothesis test for determining the existence of a new phenomenon in counting-type experiments where the observed Poisson process is subject to a Poisson distributed background with unknown mean. 

References

Numerical Recipes in C: The Art of Sci-entific Computing
TLDR
This is the revised and greatly expanded Second Edition of the hugely popular Numerical Recipes, with over 100 new routines (now well over 300 in all), plus upgraded versions of many of the original routines.