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Estimation of a Probability with Guaranteed Normalized Mean Absolute Error
Luis Mendo · 2009-04-24 · via math.ST updates on arXiv.org

The estimation of a probability p from repeated Bernoulli trials is considered in this paper. A sequential approach is followed, using a simple stopping rule. A closed-form expression and an upper bound are obtained for the mean absolute error of the unbiased estimator of p. The results given permit the estimation of an arbitrary probability with a prescribed level of normalized mean absolute error.

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