Abstract
We propose modified frequentist definition for the determination of confidence intervals for the case of Poisson statistics. Namely, we require that \(1 - \beta ' \geqslant \sum\nolimits_{n = 0}^{n = n_{obs} + k} {P\left( {\left. n \right|\lambda } \right)} \geqslant \alpha '\). We show that this definition is equivalent to the Bayesian method with prior π(λ) ∼ λk. We also propose modified frequentist definition for the case of nonzero background.
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Bitioukov, S.I., Krasnikov, N.V. Modified frequentist determination of confidence intervals for poisson distribution. Phys. Part. Nuclei 44, 229–233 (2013). https://doi.org/10.1134/S1063779613020081
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DOI: https://doi.org/10.1134/S1063779613020081