Optimal confidence intervals for bounded parameters (a correct alternative to the recipe of Feldman and Cousins)

Physics – Data Analysis – Statistics and Probability

Scientific paper

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8 pages; v3: diagonal in fig.1 corrected; note added on sensitivity limit. http://www.inr.ac.ru/~ftkachov/arXiv/0911.4271/

Scientific paper

A priori bound for the parameter to be estimated is incorporated into
confidence intervals within frequentistic approach in a straightforward and
optimal fashion, ensuring the best resolution of non-boundary values as well as
robustness for non-physical values of the estimator.

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