Confidence Bounds For The Binomial N Parameter: A Classical Approach |
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| Authors: | Lee J. Bain Max Engelhardt David H. Williams |
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| Affiliation: | 1. Department of Mathematics and Statistics , University of Missouri-Rolla , 65401, Rolla, Missouri;2. Department of Statistics , University College Dublin , 4 , Belfield, Dublin, Ireland |
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| Abstract: | A method is described for finding the distribution of an estimator for the parameter N of the binomial distribution in order to construct confidence bounds for N. Using a partition generating algorithm, tables of lower confidence bounds are provided for a range of values, illustrating the nature of the problems involved in estimating the parameters. Examples are considered and the lower bounds compared with the convenient approximate bounds due to Hoel (1947), suggesting the approximate bounds are appropriate more generally then originally thought. |
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