215 citations · 2.8k across the 117 of their papers we have counts for
15 papers · 1 filter
The Transform between the space of observed values and the space of possible values of the parameter
S. Bityukov, N. Krasnikov, V. Smirnova +1
In ref [math.ST/0411462] the notion of statistically dual distributions is introduced. The reconstruction of confidence density [AIP Conference Proceedings 803 (2005) 398] for the…
On the distinguishability of histograms
S. Bityukov, N. Krasnikov, A. Nikitenko +1
We consider an approach for testing the hypothesis that two realizations of the random variables in the form of histograms are taken from the same statistical population (i.e. two…
A method for statistical comparison of histograms
Sergey Bityukov, Nikolai Krasnikov, Alexander Nikitenko +1
We propose an approach for testing the hypothesis that two realizations of the random variables in the form of histograms are taken from the same statistical population (i.e. that…
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…
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(…
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…