Abstract
Starting with the Sterne's confidence regions, there have been a string of related attempts to improve on the two-sided Clopper–Pearson bounds for binomial inference. That work is brought to fruition using Walley's imprecise posterior likelihood as the basis for a new test statistic. The results are expressed as a consonant confidence structure, from which a new set of exact confidence intervals for binomial inference can be efficiently computed.
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