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Refining binomial confidence intervals
Author(s) -
Casella George
Publication year - 1986
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3314658
Subject(s) - equivariant map , monotone polygon , mathematics , binomial (polynomial) , class (philosophy) , minimax , property (philosophy) , set (abstract data type) , binomial theorem , binomial proportion confidence interval , discrete mathematics , mathematical optimization , statistics , pure mathematics , computer science , negative binomial distribution , artificial intelligence , geometry , philosophy , epistemology , poisson distribution , programming language
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 optimally property, monotone minimaxity, is investigated, and monotone minimax procedures are constructed.