Determination of confidence limits for experiments with low numbers of counts

Details Determination of confidence limits for experiments with low numbers of counts Determination of confidence limits for experiments with low numbers of counts

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...374..344k&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004- 637X), vol. 374, June 10, 1991, p. 344-355.

Mathematics

Probability

193

Bayes Theorem, Confidence Limits, Photon Density, Poisson Density Functions, Supernova 1987A, Charge Coupled Devices, Error Analysis, Gamma Ray Astronomy, Probability Distribution Functions

Scientific paper

Two different methods, classical and Bayesian, for determining confidence intervals involving Poisson-distributed data are compared. Particular consideration is given to cases where the number of counts observed is small and is comparable to the mean number of background counts. Reasons for preferring the Bayesian over the classical method are given. Tables of confidence limits calculated by the Bayesian method are provided for quick reference.

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