Modified frequentist determination of confidence intervals for poisson distribution

Modified frequentist determination of confidence intervals for poisson distribution

We propose modified frequentist definition for the determination of confidence intervals for the case of Poisson statistics. Namely, we require that . We show that this definition is equivalent to the Bayesian method with prior π(λ) ∼ λ k . We also propose modified frequentist definition for the cas...

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Veröffentlicht in:Physics of particles and nuclei 2013-03, Vol.44 (2), p.229-233
Hauptverfasser: Bitioukov, S. I., Krasnikov, N. V.
Format: Artikel
Sprache:eng
Schlagworte:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DISTRIBUTION
Particle and Nuclear Physics
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
STATISTICS
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Zusammenfassung:We propose modified frequentist definition for the determination of confidence intervals for the case of Poisson statistics. Namely, we require that . We show that this definition is equivalent to the Bayesian method with prior π(λ) ∼ λ k . We also propose modified frequentist definition for the case of nonzero background.
ISSN:1063-7796
1531-8559
DOI:10.1134/S1063779613020081