Approximate bias of the estimated proportion in group testing |
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Authors: | Graham Hepworth |
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Institution: | 1.School of Mathematics and Statistics,The University of Melbourne,Victoria,Australia |
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Abstract: | The maximum likelihood estimator for estimating proportions by group testing is biased. An expression for the approximate bias has been previously presented, which enables the creation of a less biased estimator by removing the term of \(O(n^{-1})\). However, in this previous work the term of \(O(n^{-2})\) was incorrectly derived. This note gives a correct derivation, and examines the relative contribution of the two terms. |
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