Puza, Borek; O'Neill, Terence
In this paper we develop some new confidence intervals for the binomial proportion. The Clopper-Pearson interval is interpreted as an outcome of randomised confidence interval theory. The problem of randomised intervals possibly being empty is solved using a new technique involving 'tail functions, with the offshoot being a new class of randomised and Clopper-Pearson intervals. Some of the new intervals are investigated and shown to have attractive frequentist properties. Coverage probabilities...[Show more]
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