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Refining binomial confidence intervals. (English) Zbl 0592.62029
Summary: A method for refining an equivariant binomial confidence procedure is presented which, when applied to an existing procedure, produces a new set of equivariant intervals that are uniformly superior. The family of procedures generated from this method constitute a complete class within the class of all equivariant procedures. In certain cases it is shown that this class is also minimal complete. Also, an optimality property, monotone minimaxity, is investigated, and monotone minimax procedures are constructed.

MSC:
62F25 Parametric tolerance and confidence regions
62C20 Minimax procedures in statistical decision theory
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