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physics.data-an2012
The relation between frequentist confidence intervals and Bayesian credible intervals
S. I. Bitioukov, N. V. Krasnikov
We investigate the relation between frequentist and Bayesian approaches. Namely, we find the "frequentist" Bayes prior π_{f}(λ,x_{obs}) = -\frac{\int_{-\infty}^{x_{obs}}\frac{\part…
physics.data-an2012
Modified frequentist determination of confidence intervals for Poisson distribution
S. I. Bitioukov, N. V. Krasnikov
We propose modified frequentist definitions for the determination of confidence intervals for the case of Poisson statistics. We require that 1-β^{'} \geq \sum_{n=o}^{n_{obs}+k} P(…
physics.data-an2012★ 1 cited
On the relation between frequentist and Bayesian approaches for the case of Poisson statistics
Sergey Bitioukov, Nikolai Krasnikov
We propose modified frequentist definition for the determination of confidence intervals for the case of Poisson statistics. Namely, we require that 1-β' \geq \sum_{n=o}^{n_{obs}+k…