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 1−β{sup ′}⩾∑{sub n=0}{sup n=n{sub o}{sub b}{sub s}+k}P(n|λ)⩾α{sup ′}. We show that this definition is equivalent to the Bayesian method with prior π(λ) ∼ λ{sup k}. We also propose modified frequentist definition for the case of nonzero background.