Article
Refining binomial confidence intervals
Abstract
enA 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 optimally property, monotone minimaxity, is investigated, and monotone minimax procedures are constructed.
Abstract
frOn décrit une méthode permettant de raffiner une procédure équivariante de calcul d'intervalles de confiance binomiaux. Lorsque cette méthode est appliquée à une procédure existante, elle produit des intervalles équivariants qui sont uniformément supérieurs aux précédents. La famille des procédures éngendrées par cette méthode constitue une classe complète par rapport à la classe des procédures équivariantes. Dans certains cas, cette classe est à la fois complète et minimale. On s'intéresse en outre à la notion de “minimaxite monotone” et on construit des procédures qui jouissent de cette propriété optimale.
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