# 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} }

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…

## 24 Citations

Inferring the intensity of Poisson processes at the limit of the detector sensitivity (with a case study on gravitational wave burst search)

- Physics, Mathematics
- 1999

We consider the issue of reporting the result of search experiment in the most unbiased and efficient way, i.e. in a way which allows an easy interpretation and combination of results and which do…

Optimal inferential models for a Poisson mean

- Mathematics
- 2012

Statistical inference on the mean of a Poisson distribution is a fundamentally important problem with modern applications in, e.g., particle physics. The discreteness of the Poisson distribution…

Search Procedures in High Energy Physics

- Mathematics
- 2009

The usual procedure for searching for new phenomena in high energy physics involves a frequentist hypothesis test followed by the construction of an interval for the parameter of interest. This…

Frequentist and Bayesian confidence intervals

- Physics
- 2001

Frequentist (classical) and Bayesian approaches to the construction of confidence limits are compared. Various examples which illustrate specific problems are presented. The Likelihood Principle and…

Frequentist and Bayesian Confidence Limits

- Physics
- 2001

Frequentist (classical) and the Bayesian approaches to the construction of confidence limits are compared. Various examples which illustrate specific problems are presented. The Likelihood Principle…

The statistical analysis of Gaussian and Poisson signals near physical boundaries

- Mathematics, Physics
- 2000

We propose a construction of frequentist confidence intervals that is effective near unphysical regions and unifies the treatment of two-sided and upper limit intervals. It is rigorous, has coverage,…

Frequentist coverage properties of uncertainty intervals for weak Poisson signals in the presence of background

- Mathematics, Physics
- 2010

We construct uncertainty intervals for weak Poisson signals in the presence of background. We consider the case where a primary experiment yields a realization of the signal plus background, and a…

THE PHYSICAL SIGNIFICANCE OF CONFIDENCE INTERVALS

- Mathematics, Physics
- 2001

We define some appropriate statistical quantities that indicate the physical significance (reliability) of confidence intervals in the framework of both Frequentist and Bayesian statistical theories.…

Enhancing the physical significance of Frequentist confidence intervals

- Physics
- 2000

It is shown that all the Frequentist methods are equivalent from a statistical point of view, but the physical significance of the confidence intervals depends on the method. The Bayesian Ordering…

PREDICTION OF THE DETECTION LIMIT IN A NEW COUNTING EXPERIMENT

- Physics
- 2008

When a new counting experiment is proposed, it is crucial to predict whether the desired source signal will be detected, or how much observation time is required in order to detect the signal at a…

## References

SHOWING 1-9 OF 9 REFERENCES

Massive Neutrinos In Physics And Astrophysics

- Physics
- 1991

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