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This research compares two methods for determining confidence intervals for experiments with low count data.

June 1, 1991Open Access

Determination of confidence limits for experiments with low numbers of counts

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This research compares two methods for determining confidence intervals for experiments with low count data.
Comparison of classical and Bayesian methods for Poisson-distributed data.
Focus on scenarios with small counts and background counts.
Tables of confidence limits calculated using the Bayesian method are provided.
Bayesian method preferred for better accuracy in low-count scenarios.
Tables provide quick reference for confidence limits calculated.

Resumen

view Abstract Citations (405) References (5) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Determination of Confidence Limits for Experiments with Low Numbers of Counts Kraft, Ralph P. ; Burrows, David N. ; Nousek, John A. Abstract 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. Publication: The Astrophysical Journal Pub Date: June 1991 DOI: 10.1086/170124 Bibcode: 1991ApJ...374..344K Keywords: Bayes Theorem; Confidence Limits; Photon Density; Poisson Density Functions; Supernova 1987a; Charge Coupled Devices; Error Analysis; Gamma Ray Astronomy; Probability Distribution Functions; STATISTICS AND PROBABILITY; GAMMA RAYS: GENERAL; NUMERICAL METHODS; X-RAYS: GENERAL full text sources ADS | data products SIMBAD (1)

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