New ordering principle for the classical statistical analysis of Poisson processes with background

@article{Giunti1999NewOP,
  title={New ordering principle for the classical statistical analysis of Poisson processes with background},
  author={Carlo Giunti},
  journal={Physical Review D},
  year={1999},
  volume={59},
  pages={053001}
}
  • C. Giunti
  • Published 6 August 1998
  • Physics
  • Physical Review D
Inspired by the recent proposal by Feldman and Cousins of a ``unified approach to the classical statistical analysis of small signals'' based on a choice of ordering in Neyman's construction of classical confidence intervals, I propose a new ordering principle for the classical statistical analysis of Poisson processes with a background which minimizes the effect on the resulting confidence intervals of the observation of fewer background events than expected. The new ordering principle is… 

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References

SHOWING 1-9 OF 9 REFERENCES
Massive Neutrinos In Physics And Astrophysics
The groundbreaking discovery of nonzero neutrino masses and oscillations has put the spotlight on massive neutrinos as one of the key windows on physics beyond the standard model as well as into the
Talk presented at Neutrino '98 [11]; KARMEN WWW page
  • Talk presented at Neutrino '98 [11]; KARMEN WWW page
Eur. Phys. J. C
  • Eur. Phys. J. C
  • 1998
Phys. Rev. D
  • Phys. Rev. D
  • 1998
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1997
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1996
Nucl. Phys. B
  • Nucl. Phys. B
  • 1995
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1992
Neutrinos in Physics and Astrophysics, Contemporary Concepts in Physics
  • Neutrinos in Physics and Astrophysics, Contemporary Concepts in Physics
  • 1978